Q:

What are all the common multiples for 7 and 11 from 1 to 100?

A:

The only common multiple of the numbers 7 and 11 from 1 to 100 is the number 77, according to the Math Warehouse calculator. A multiple is the product of a number and another whole number. A common multiple of 7 and 11 must be larger than the two numbers.

Stated another way, the task is to find all the numbers (multiples) below 100 that have 7 and 11 as common divisors. The number 7 has 14 of its own multiples under 100. The multiples are: 7 (7x1), 14 (7x2), 21 (7x3), 28 (7x4), 35 (7x5), 42 (7x6), 49 (7x7), 56 (7x8), 63 (7x9), 70 (7x10), 77 (7x11), 84 (7x12), 91(7x13) and 98 (7x14). The number 11 has nine of its own multiples under 100. The multiples are 11 (11x1), 22 (11x2), 33 (11x3), 44 (11x4), 55 (11x5), 66 (11x6), 77 (11x7), 88 (11x8) and 99 (11x9). The only number that is divisible by 7 and 11 in this case is 77.

The number 77 is also called the least common multiple of 7 and 11 because it is the lowest, or first number, that is divisible by both 7 and 11.

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