Least Common Multiple of 66, 36, 588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 66, 36, 588 i.e. 19404 smallest integer divisible by all numbers.

Least common multiple (LCM) of 66, 36, 588 is 19404.

LCM(66, 36, 588) = 19404

LCM of 66, 36, 588

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 66,36,588

Least Common Multiple (LCM) of 66,36,588 is 19404

2 66, 36, 588
2 33, 18, 294
3 33, 9, 147
11, 3, 49

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 3 x 49 = 19404

Least Common Multiple of 66,36,588 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 66,36,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,36,588) = 6

common factors(in case of two or more numbers have common factors) = 12

GCF(66,36,588) x common factors =6 x 12 = 72

LCM(66,36,588) = ( 66 × 36 × 588 ) / 72

LCM(66,36,588) = 1397088 / 72

LCM(66,36,588) = 19404

∴ Least Common Multiple of 66,36,588 is 19404

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 66, 36, 588

1. What is the LCM of 66, 36, 588?

Answer: LCM of 66, 36, 588 is 19404.

2. What are the Factors of 19404?

Answer: Factors of 19404 are . There are integers that are factors of 19404

3. How to Find the LCM of 66, 36, 588 ?

Least Common Multiple of 66, 36, 588.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(66, 36, 588) = 2 x 2 x 3 x 3 x 7 x 7 x 11 = 19404.