Example: 30 and 42 Factor them. 2 x 3 x 5 = 30 2 x 3 x 7 = 42 Select the highest amount of each factor. 2 x 3 x 5 x 7 = 210, the LCM Multiples of 210 will all be common multiples of 30 and 42 and can be found by multiplying 210 by successive counting numbers. 210 x 1 = 210 210 x 2 = 420 210 x 3 = 630 and so on.
The GCF of 420 and 630 is 210.
Some of the multiples of 70 are: 70, 140, 210, 280, 350, 420, etc. (The list is infinite.)
60
The first common multiple of 3 4 5 and 7 is 420.
210, 420, 630, 840 . . .
There are an infinite number of multiples of any number. A multiple of a number is the product of that number multiplied by any integer other than zero. The multiples of 210 are 210, 420, 630, 840, 1050, and continuing on to an infinite quantity of numbers that can be divided evenly by 210.
210, 420, 630, 840, 1050 Five common multiples. Only one can be least.
105, 210, 315, 420, 525, 630
420
70, 140, 210, 280, 350, 420, 490
210, 420, 630, 840, 1050, 1260, 1470, 1680, 1890, . . . (to infinity).
210, 420, 630, 840, 1050, 1260.
210, 420, 630 and so on.
67
7, 10, 3, 5 all go into their LCM (Lowest Common Multiple) which is 210, and all multiples of their LCM, the first 10 multiples of 210 that they all go into are: 210, 420, 630, 840, 1050, 1260, 1470, 1680, 1890, 2100, ...
It's not possible to have a common factor of a single number. Common factors are the result of comparing at least two numbers. The least common factor ofany set of positive integers is 1. The GCF of 30, 210 and 420 is 30. The LCM of 30, 210 and 420 is 420.