Question 24

Find the least number that is divisible by 12, 18, 21, and 30

Solution

$$12=2\times 2\times 3$$

$$18=2\times 3\times 3$$

$$21 =3\times 7$$

$$30 =2\times 3\times 5$$

Select the common terms

LCM = $$2\times 2\times 3\times 3\times 5\times 7$$

= 1260


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