Least Common Multiple of 540, 584, 559, 271, 816

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 540, 584, 559, 271, 816 i.e. 406075353840 smallest integer divisible by all numbers.

Least common multiple (LCM) of 540, 584, 559, 271, 816 is 406075353840.

LCM(540, 584, 559, 271, 816) = 406075353840

LCM of 540, 584, 559, 271, 816

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

LCM of:

Least Common Multiple of 540,584,559,271,816

Least Common Multiple (LCM) of 540,584,559,271,816 is 406075353840

2 540, 584, 559, 271, 816
2 270, 292, 559, 271, 408
2 135, 146, 559, 271, 204
3 135, 73, 559, 271, 102
45, 73, 559, 271, 34

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 45 x 73 x 559 x 271 x 34 = 406075353840

Least Common Multiple of 540,584,559,271,816 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 540,584,559,271,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,584,559,271,816) = 1

common factors(in case of two or more numbers have common factors) = 96

GCF(540,584,559,271,816) x common factors =1 x 96 = 96

LCM(540,584,559,271,816) = ( 540 × 584 × 559 × 271 × 816 ) / 96

LCM(540,584,559,271,816) = 38983233968640 / 96

LCM(540,584,559,271,816) = 406075353840

∴ Least Common Multiple of 540,584,559,271,816 is 406075353840

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 540, 584, 559, 271, 816

1. What is the LCM of 540, 584, 559, 271, 816?

Answer: LCM of 540, 584, 559, 271, 816 is 406075353840.

2. What are the Factors of 406075353840?

Answer: Factors of 406075353840 are . There are integers that are factors of 406075353840

3. How to Find the LCM of 540, 584, 559, 271, 816 ?

Least Common Multiple of 540, 584, 559, 271, 816.

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(540, 584, 559, 271, 816) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 13 x 17 x 43 x 73 x 271 = 406075353840.