Written Instructions:
For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..
For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.
Leave your answers in the simplest form or correct to two decimal places.
| 1) What is the least common multiple of 12 and 7
Answer:_______________ |
| 2) What is the least common multiple of 6 and 3
Answer:_______________ |
| 3) What is the least common multiple of 3 and 5
Answer:_______________ |
| 4) What is the least common multiple of 12 and 4
Answer:_______________ |
| 5) What is the least common multiple of 4 and 8
Answer:_______________ |
| 6) What is the least common multiple of 2 and 7
Answer:_______________ |
| 7) What is the least common multiple of 6 and 12 Answer:_______________ |
| 8) What is the least common multiple of 10 and 5
Answer:_______________ |
| 9) What is the least common multiple of 10 and 3
Answer:_______________ |
| 10) What is the least common multiple of 6 and 9
Answer:_______________ |
| 1) What is the least common multiple of 12 and 7 Answer: 84 SOLUTION 1 : Remember: The least common multiple is the least whole number that is a multiple of each of two or more numbers. Solve: Write the prime factorisation for each number. 7 is a prime number. You do not need to factorise 7. 12 = 2 × 2 × 3 Repeat each prime factor the greatest number of times it appears in any of the prime factorisations above. 2 × 2 × 3 × 7 = 84 The least common multiple of 12 and 7 is 84. |
| 2) What is the least common multiple of 6 and 3 Answer: 6 |
| 3) What is the least common multiple of 3 and 5 Answer: 15 SOLUTION 1 : Remember: The least common multiple is the least whole number that is a multiple of each of two or more numbers. Solve: 3 and 5 are prime numbers. You do not need to factor them. Multiply the prime numbers: 3 × 5 = 15 The least common multiple of 3 and 5 is 15. |
| 4) What is the least common multiple of 12 and 4 Answer: 12 SOLUTION 1 : Remember: The least common multiple is the least whole number that is a multiple of each of two or more numbers. Solve: Write the prime factorisation for each number. 12 = 2 × 2 × 3 Repeat each prime factor the greatest number of times it appears in any of the prime factorisations above. 2 × 2 × 3 = 12 The least common multiple of 12 and 4 is 12. |
| 5) What is the least common multiple of 4 and 8 Answer: 8 SOLUTION 1 : Remember ; The least common multiple is the least whole number that is a multiple of each of two or more numbers. 4 = 2 × 2 Repeat each prime factor the greatest number of times it appears in any of the prime factorisations above. 2 × 2 × 2 = 8 The least common multiple of 4 and 8 is 8.
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| 6) What is the least common multiple of 2 and 7 Answer: 14 SOLUTION 1 : Remember: The least common multiple is the least whole number that is a multiple of each of two or more numbers. Solve: 2 and 7 are prime numbers. You do not need to factor them. Multiply the prime numbers: 2 × 7 = 14 The least common multiple of 2 and 7 is 14. |
| 7) What is the least common multiple of 6 and 12 SOLUTION 1 : Remember; The least common multiple is the least whole number that is a multiple of each of two or more numbers. Solve; Write the prime factorisation for each number. 6 = 2 × 3 Repeat each prime factor the greatest number of times it appears in any of the prime factorisations above. 2 × 2 × 3 = 12 The least common multiple of 6 and 12 is 12. |
| 8) What is the least common multiple of 10 and 5 Answer: 10 SOLUTION 1 : Remember: The least common multiple is the least whole number that is a multiple of each of two or more numbers. Solve: Write the prime factorisation for each number. 5 is a prime number. You do not need to factorise 5. 10 = 2 × 5 Repeat each prime factor the greatest number of times it appears in any of the prime factorisations above. 2 × 5 = 10 The least common multiple of 10 and 5 is 10. |
| 9) What is the least common multiple of 10 and 3 Answer: 30 SOLUTION 1 : Remember; The least common multiple is the least whole number that is a multiple of each of two or more numbers. solve: Write the prime factorisation for each number. 3 is a prime number. You do not need to factorise 3. 10 = 2 × 5 Repeat each prime factor the greatest number of times it appears in any of the prime factorisations above. 2 × 3 × 5 = 30 The least common multiple of 10 and 3 is 30. |
| 10) What is the least common multiple of 6 and 9 Answer: 18 SOLUTION 1 : Remember; The least common multiple is the least whole number that is a multiple of each of two or more numbers. Solve: Write the prime factorisation for each number. 6 = 2 × 3 Repeat each prime factor the greatest number of times it appears in any of the prime factorisations above. 2 × 3 × 3 = 18 The least common multiple of 6 and 9 is 18. |