Least Common Multiple of 66, 14, 574

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, 14, 574 i.e. 18942 smallest integer divisible by all numbers.

Least common multiple (LCM) of 66, 14, 574 is 18942.

LCM(66, 14, 574) = 18942

LCM of 66, 14, 574

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

LCM of:

Least Common Multiple of 66,14,574

Least Common Multiple (LCM) of 66,14,574 is 18942

2 66, 14, 574
7 33, 7, 287
33, 1, 41

∴ So the LCM of the given numbers is 2 x 7 x 33 x 1 x 41 = 18942

Least Common Multiple of 66,14,574 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 66,14,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,14,574) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(66,14,574) x common factors =2 x 14 = 28

LCM(66,14,574) = ( 66 × 14 × 574 ) / 28

LCM(66,14,574) = 530376 / 28

LCM(66,14,574) = 18942

∴ Least Common Multiple of 66,14,574 is 18942

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 66, 14, 574

1. What is the LCM of 66, 14, 574?

Answer: LCM of 66, 14, 574 is 18942.

2. What are the Factors of 18942?

Answer: Factors of 18942 are . There are integers that are factors of 18942

3. How to Find the LCM of 66, 14, 574 ?

Least Common Multiple of 66, 14, 574.

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, 14, 574) = 2 x 3 x 7 x 11 x 41 = 18942.