AQA · Mathematics · 8300

GCSE Maths: Number: common multiples/LCM

Number · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Number: common multiples/LCM (Corbettmaths Video 218), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.

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  1. What is a common multiple?

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    A number that is a multiple of two or more given numbers.

  2. What does LCM stand for?

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    Lowest Common Multiple.

  3. What is the lowest common multiple (LCM) of two numbers?

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    The smallest number that is a multiple of both given numbers.

  4. A red light flashes every 6 seconds and a yellow light flashes every 4 seconds. After how many seconds will they next flash together?

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    12 seconds (the LCM of 6 and 4).

  5. Black pens come in packets of 10, red pens in packets of 4, and green pens in packets of 3. What is the smallest number of pens of each colour you can buy to have equal amounts?

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    60 pens of each colour (the LCM of 10, 4, and 3).

  6. To find when two repeating events occur together again, which mathematical concept should you use?

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    The Lowest Common Multiple (LCM) of their cycle times.

  7. What is the LCM of two consecutive numbers equal to?

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    The product of the two numbers (since consecutive numbers have no common factors other than 1).

  8. What is the LCM of 28 and 16?

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    112

  9. Two numbers have HCF = 6 and LCM = 60. What are the two numbers?

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    12 and 30. (Other answers like 6 and 60 are also possible, but 12 and 30 is the most common solution.)

  10. Three lights flash every 3, 8, and 11 seconds. If they flash together at the start, after how many seconds do they next flash together?

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    264 seconds. The LCM of 3, 8, and 11 is 264.

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