Least Common Multiple of 546, 960, 590

Q: How to Find the LCM of 546, 960, 590 ?

Least Common Multiple of 546, 960, 590 = 5154240 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, 960, 590) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 13 x 59 = 5154240.

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, 960, 590 i.e. 5154240 smallest integer divisible by all numbers.

Least common multiple (LCM) of 546, 960, 590 is 5154240.

LCM(546, 960, 590) = 5154240

LCM of 546, 960, 590

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

Least Common Multiple of 546, 960, 590 by common division method
Least Common Multiple of 546, 960, 590 with GCF Formula

Least Common Multiple of 546,960,590

Least Common Multiple (LCM) of 546,960,590 is 5154240

2	546, 960, 590
3	273, 480, 295
5	91, 160, 295
	91, 32, 59

∴ So the LCM of the given numbers is 2 x 3 x 5 x 91 x 32 x 59 = 5154240

Least Common Multiple of 546,960,590 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 546,960,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,960,590) = 2

common factors(in case of two or more numbers have common factors) = 30

GCF(546,960,590) x common factors =2 x 30 = 60

LCM(546,960,590) = ( 546 × 960 × 590 ) / 60

LCM(546,960,590) = 309254400 / 60

LCM(546,960,590) = 5154240

∴ Least Common Multiple of 546,960,590 is 5154240

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, 960, 590

1. What is the LCM of 546, 960, 590?

Answer: LCM of 546, 960, 590 is 5154240.

2. What are the Factors of 5154240?

Answer: Factors of 5154240 are . There are integers that are factors of 5154240

3. How to Find the LCM of 546, 960, 590 ?

Least Common Multiple of 546, 960, 590.

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, 960, 590) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 13 x 59 = 5154240.