Least Common Multiple of 406, 174, 364

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 406, 174, 364 i.e. 31668 smallest integer divisible by all numbers.

Least common multiple (LCM) of 406, 174, 364 is 31668.

LCM(406, 174, 364) = 31668

LCM of 406, 174, 364

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

LCM of:

Least Common Multiple of 406,174,364

Least Common Multiple (LCM) of 406,174,364 is 31668

2 406, 174, 364
7 203, 87, 182
29 29, 87, 26
1, 3, 26

∴ So the LCM of the given numbers is 2 x 7 x 29 x 1 x 3 x 26 = 31668

Least Common Multiple of 406,174,364 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 406,174,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(406,174,364) = 2

common factors(in case of two or more numbers have common factors) = 406

GCF(406,174,364) x common factors =2 x 406 = 812

LCM(406,174,364) = ( 406 × 174 × 364 ) / 812

LCM(406,174,364) = 25714416 / 812

LCM(406,174,364) = 31668

∴ Least Common Multiple of 406,174,364 is 31668

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 406, 174, 364

1. What is the LCM of 406, 174, 364?

Answer: LCM of 406, 174, 364 is 31668.

2. What are the Factors of 31668?

Answer: Factors of 31668 are . There are integers that are factors of 31668

3. How to Find the LCM of 406, 174, 364 ?

Least Common Multiple of 406, 174, 364.

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(406, 174, 364) = 2 x 2 x 3 x 7 x 13 x 29 = 31668.