How do you find the Least common multiple of $10, 4, 18$ $10, 4, 18$ ?

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Answer 1 · 2016-11-30T19:12:55

$L C M (10; 4; 18) = 180$ $LCM(10;4;18)= 180$

Factorize the three numbers:

$10 = 2 \cdot 5$ $10 = 2*5$
$4 = 2^{2}$ $4=2^2$
$18 = 2 \cdot 3^{2}$ $18=2*3^2$

The least common multiple is the product of all prime factors present in at least one number, taken once with the highest exponent:

$L C M = 2^{2} \cdot 3^{2} \cdot 5 = 4 \cdot 9 \cdot 5 = 180$ $LCM = 2^2*3^2*5 =4*9*5=180$

How do you find the Least common multiple of 10,4,1810, 4, 18?