Least Common Multiple of 354, 468, 507

Q: How to Find the LCM of 354, 468, 507 ?

Least Common Multiple of 354, 468, 507 = 358956 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(354, 468, 507) = 2 x 2 x 3 x 3 x 13 x 13 x 59 = 358956.

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 354, 468, 507 i.e. 358956 smallest integer divisible by all numbers.

Least common multiple (LCM) of 354, 468, 507 is 358956.

LCM(354, 468, 507) = 358956

LCM of 354, 468, 507

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

Least Common Multiple of 354, 468, 507 by common division method
Least Common Multiple of 354, 468, 507 with GCF Formula

Least Common Multiple of 354,468,507

Least Common Multiple (LCM) of 354,468,507 is 358956

2	354, 468, 507
3	177, 234, 507
13	59, 78, 169
	59, 6, 13

∴ So the LCM of the given numbers is 2 x 3 x 13 x 59 x 6 x 13 = 358956

Least Common Multiple of 354,468,507 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 354,468,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,468,507) = 3

common factors(in case of two or more numbers have common factors) = 78

GCF(354,468,507) x common factors =3 x 78 = 234

LCM(354,468,507) = ( 354 × 468 × 507 ) / 234

LCM(354,468,507) = 83995704 / 234

LCM(354,468,507) = 358956

∴ Least Common Multiple of 354,468,507 is 358956

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 354, 468, 507

1. What is the LCM of 354, 468, 507?

Answer: LCM of 354, 468, 507 is 358956.

2. What are the Factors of 358956?

Answer: Factors of 358956 are . There are integers that are factors of 358956

3. How to Find the LCM of 354, 468, 507 ?

Least Common Multiple of 354, 468, 507.

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(354, 468, 507) = 2 x 2 x 3 x 3 x 13 x 13 x 59 = 358956.