Multiples and Lowest Common Multiples

Find the multiples or lowest common multiple.

All objectives

Foundation

16 web questions

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  1. Write the first 5 multiples of $2$.
  2. Write the first 5 multiples of $3$.
  3. Write the first 5 multiples of $4$.
  4. Write the first 5 multiples of $5$.
  5. Write the first 5 multiples of $6$.
  6. Is $18$ a multiple of $3$?
  7. Is $20$ a multiple of $5$?
  8. Is $21$ a multiple of $4$?
  9. Circle the common multiples of $2$ and $3$: $4, 6, 8, 12, 15, 18$.
  10. Circle the common multiples of $3$ and $4$: $6, 8, 12, 15, 24$.
  11. Find the lowest common multiple of $2$ and $3$.
  12. Find the lowest common multiple of $2$ and $4$.
  13. Find the lowest common multiple of $3$ and $5$.
  14. Find the lowest common multiple of $4$ and $5$.
  15. Complete: the next multiple of $7$ after $21$ is $\square$.
  16. Complete: the next multiple of $8$ after $24$ is $\square$.

Proficient

16 web questions

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  1. Write the first 6 multiples of $7$.
  2. Write the first 6 multiples of $8$.
  3. Write the first 6 multiples of $9$.
  4. List the common multiples of $4$ and $6$ up to $36$.
  5. List the common multiples of $5$ and $7$ up to $70$.
  6. Find the lowest common multiple of $4$ and $6$.
  7. Find the lowest common multiple of $6$ and $8$.
  8. Find the lowest common multiple of $9$ and $12$.
  9. Find the lowest common multiple of $7$ and $10$.
  10. Find the lowest common multiple of $5$ and $12$.
  11. Fill in the blank: the lowest common multiple of $3$ and $8$ is $\square$.
  12. Fill in the blank: the lowest common multiple of $6$ and $9$ is $\square$.
  13. Is $24$ a common multiple of $4$ and $6$?
  14. Is $30$ the lowest common multiple of $5$ and $6$?
  15. Which is greater: the lowest common multiple of $3$ and $4$, or the lowest common multiple of $2$ and $9$?
  16. Two bells ring every $4$ minutes and every $6$ minutes. After how many minutes will they ring together again?

Excellence

16 web questions

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  1. A student says the lowest common multiple of $4$ and $6$ is $10$. Are they correct? Explain.
  2. A student says $36$ is the lowest common multiple of $6$ and $9$. Are they correct? Explain.
  3. Write the first 3 common multiples of $6$ and $8$.
  4. Write the first 3 common multiples of $9$ and $12$.
  5. Find the lowest common multiple of $8$ and $14$.
  6. Find the lowest common multiple of $12$ and $15$.
  7. Find the lowest common multiple of $18$ and $24$.
  8. Fill in both blanks: the first two common multiples of $4$ and $9$ are $\square$ and $\square$.
  9. Fill in the blank: the lowest common multiple of $a$ and $6$ is $18$ when $a=\square$.
  10. Which does not belong: $12, 18, 24, 30$ as common multiples of $3$ and $6$?
  11. Which is greater: the lowest common multiple of $6$ and $10$, or the lowest common multiple of $8$ and $12$? Show enough working to justify.
  12. Three lights flash every $6$, $8$, and $12$ seconds. After how many seconds will they all flash together again?
  13. A bus comes every $9$ minutes and a train comes every $15$ minutes. If they leave now at the same time, after how many minutes will they leave together again?
  14. Is $48$ a common multiple of $6$ and $8$? Is it the lowest common multiple? Explain.
  15. Complete: if the lowest common multiple of $5$ and $n$ is $35$, then $n=@@HTML0@@$.
  16. Explain why the lowest common multiple of two numbers must be a multiple of both numbers.