Least Common Multiple of 341, 744, 468

Q: How to Find the LCM of 341, 744, 468 ?

Least Common Multiple of 341, 744, 468 = 319176 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(341, 744, 468) = 2 x 2 x 2 x 3 x 3 x 11 x 13 x 31 = 319176.

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 341, 744, 468 i.e. 319176 smallest integer divisible by all numbers.

Least common multiple (LCM) of 341, 744, 468 is 319176.

LCM(341, 744, 468) = 319176

LCM of 341, 744, 468

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

Least Common Multiple of 341, 744, 468 by common division method
Least Common Multiple of 341, 744, 468 with GCF Formula

Least Common Multiple of 341,744,468

Least Common Multiple (LCM) of 341,744,468 is 319176

2	341, 744, 468
2	341, 372, 234
3	341, 186, 117
31	341, 62, 39
	11, 2, 39

∴ So the LCM of the given numbers is 2 x 2 x 3 x 31 x 11 x 2 x 39 = 319176

Least Common Multiple of 341,744,468 with GCF Formula

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

We need to calculate greatest common factor of 341,744,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(341,744,468) = 1

common factors(in case of two or more numbers have common factors) = 372

GCF(341,744,468) x common factors =1 x 372 = 372

LCM(341,744,468) = ( 341 × 744 × 468 ) / 372

LCM(341,744,468) = 118733472 / 372

LCM(341,744,468) = 319176

∴ Least Common Multiple of 341,744,468 is 319176

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 341, 744, 468

1. What is the LCM of 341, 744, 468?

Answer: LCM of 341, 744, 468 is 319176.

2. What are the Factors of 319176?

Answer: Factors of 319176 are . There are integers that are factors of 319176

3. How to Find the LCM of 341, 744, 468 ?

Least Common Multiple of 341, 744, 468.

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(341, 744, 468) = 2 x 2 x 2 x 3 x 3 x 11 x 13 x 31 = 319176.