Least Common Multiple of 546, 3468

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 546, 3468 i.e. 315588 smallest integer divisible by all numbers.

Least common multiple (LCM) of 546, 3468 is 315588.

LCM(546, 3468) = 315588

LCM of 546, 3468

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

LCM of:

Least Common Multiple of 546,3468

Least Common Multiple (LCM) of 546,3468 is 315588

2 546, 3468
3 273, 1734
91, 578

∴ So the LCM of the given numbers is 2 x 3 x 91 x 578 = 315588

Least Common Multiple of 546,3468 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 546,3468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,3468) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(546,3468) x common factors =6 x 1 = 6

LCM(546,3468) = ( 546 × 3468 ) / 6

LCM(546,3468) = 1893528 / 6

LCM(546,3468) = 315588

∴ Least Common Multiple of 546,3468 is 315588

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 546, 3468

1. What is the LCM of 546, 3468?

Answer: LCM of 546, 3468 is 315588.

2. What are the Factors of 315588?

Answer: Factors of 315588 are . There are integers that are factors of 315588

3. How to Find the LCM of 546, 3468 ?

Least Common Multiple of 546, 3468.

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(546, 3468) = 2 x 2 x 3 x 7 x 13 x 17 x 17 = 315588.