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The first step in answering this problem is to break down 30 into its prime factors. These are 2, 3 and 5. Thus two numbers will have a lowest common multiple of 30 if the only unique prime factors are 2, 3 and 5. In order to have a highest common factor of 3, the two numbers need to have only one shared factor (3). Therefore one of the numbers needs to have the prime factors of 2 and 3, and the other needs to have the prime factors of 3 and 5. Thus, the two numbers with a LCM of 30 and a HCF of 3 are 6 and 15.

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12y ago
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11y ago

7 and 35

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10y ago

The least common multiple of 2 , 35 = 70

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9y ago

5 and 6

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12y ago

7 and 35

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Q: The Least common multiple is 35 and the Greatest common factor is 7. find a pair of numbers for each set of conditions?
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