Least Common Multiple of 542, 312, 345

Q: How to Find the LCM of 542, 312, 345 ?

Least Common Multiple of 542, 312, 345 = 9723480 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(542, 312, 345) = 2 x 2 x 2 x 3 x 5 x 13 x 23 x 271 = 9723480.

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 542, 312, 345 i.e. 9723480 smallest integer divisible by all numbers.

Least common multiple (LCM) of 542, 312, 345 is 9723480.

LCM(542, 312, 345) = 9723480

LCM of 542, 312, 345

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

Least Common Multiple of 542, 312, 345 by common division method
Least Common Multiple of 542, 312, 345 with GCF Formula

Least Common Multiple of 542,312,345

Least Common Multiple (LCM) of 542,312,345 is 9723480

2	542, 312, 345
3	271, 156, 345
	271, 52, 115

∴ So the LCM of the given numbers is 2 x 3 x 271 x 52 x 115 = 9723480

Least Common Multiple of 542,312,345 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 542,312,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,312,345) = 1

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

GCF(542,312,345) x common factors =1 x 6 = 6

LCM(542,312,345) = ( 542 × 312 × 345 ) / 6

LCM(542,312,345) = 58340880 / 6

LCM(542,312,345) = 9723480

∴ Least Common Multiple of 542,312,345 is 9723480

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 542, 312, 345

1. What is the LCM of 542, 312, 345?

Answer: LCM of 542, 312, 345 is 9723480.

2. What are the Factors of 9723480?

Answer: Factors of 9723480 are . There are integers that are factors of 9723480

3. How to Find the LCM of 542, 312, 345 ?

Least Common Multiple of 542, 312, 345.

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(542, 312, 345) = 2 x 2 x 2 x 3 x 5 x 13 x 23 x 271 = 9723480.