Least Common Multiple of 387, 114, 174

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 387, 114, 174 i.e. 426474 smallest integer divisible by all numbers.

Least common multiple (LCM) of 387, 114, 174 is 426474.

LCM(387, 114, 174) = 426474

LCM of 387, 114, 174

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

LCM of:

Least Common Multiple of 387,114,174

Least Common Multiple (LCM) of 387,114,174 is 426474

2 387, 114, 174
3 387, 57, 87
129, 19, 29

∴ So the LCM of the given numbers is 2 x 3 x 129 x 19 x 29 = 426474

Least Common Multiple of 387,114,174 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 387,114,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,114,174) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(387,114,174) x common factors =3 x 6 = 18

LCM(387,114,174) = ( 387 × 114 × 174 ) / 18

LCM(387,114,174) = 7676532 / 18

LCM(387,114,174) = 426474

∴ Least Common Multiple of 387,114,174 is 426474

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 387, 114, 174

1. What is the LCM of 387, 114, 174?

Answer: LCM of 387, 114, 174 is 426474.

2. What are the Factors of 426474?

Answer: Factors of 426474 are . There are integers that are factors of 426474

3. How to Find the LCM of 387, 114, 174 ?

Least Common Multiple of 387, 114, 174.

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(387, 114, 174) = 2 x 3 x 3 x 19 x 29 x 43 = 426474.