There is an infinite number of common multiples for 2 and 7. A common multiple of any two or more numbers is any number into which each of two or more numbers can be divided evenly (zero remainder). However, the least or lowest common multiple (LCM) of 2 and 7 is 14.
The common multiples of 2 and 7 are 14, 28, 42, 56, 70, 84, 98, and so on.
14,28,42,56,70...
42
lcm(2, 7) = 14 → first 3 common multiples are: 14, 28, 42; lcm(2, 8) = 8 → first 3 common multiples are: 8, 16, 24; lcm(7, 8) = 56 → first 3 common multiples are: 56, 112, 168; lcm(2, 7, 8) = 56 → first 3 common multiples are: 56, 112, 168.
14 = 2 X 7 42 = 2 X 3 X 7 So 2 & 7 are common to both multiples / NB '3' is NOT a common multiple.
To find the common multiples of 2, 3, and 7, we first list the multiples of each number: Multiples of 2: 2, 4, 6, 8, 10, 12, ... Multiples of 3: 3, 6, 9, 12, 15, 18, ... Multiples of 7: 7, 14, 21, 28, 35, ... The first common multiple of 2, 3, and 7 is 6, as it is the smallest number that is a multiple of all three numbers. The second common multiple is 12, as it is the next number that is a multiple of all three numbers.
Every multiple of 14 !
Any multiple of 14.
28 and 56
2
Oh, dude, common multiples are just numbers that all three of these divas can divide into without any drama. So, for 2, 3, and 7, their common multiples would be like 42, 84, 126, and so on. It's like finding a party playlist that everyone can groove to without any complaints.
14, 28, 42