Least Common Multiple of 540, 736, 590, 735, 428

Q: How to Find the LCM of 540, 736, 590, 735, 428 ?

Least Common Multiple of 540, 736, 590, 735, 428 = 30735724320 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, 736, 590, 735, 428) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 7 x 23 x 59 x 107 = 30735724320.

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, 736, 590, 735, 428 i.e. 30735724320 smallest integer divisible by all numbers.

Least common multiple (LCM) of 540, 736, 590, 735, 428 is 30735724320.

LCM(540, 736, 590, 735, 428) = 30735724320

LCM of 540, 736, 590, 735, 428

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

Least Common Multiple of 540, 736, 590, 735, 428 by common division method
Least Common Multiple of 540, 736, 590, 735, 428 with GCF Formula

Least Common Multiple of 540,736,590,735,428

Least Common Multiple (LCM) of 540,736,590,735,428 is 30735724320

2	540, 736, 590, 735, 428
2	270, 368, 295, 735, 214
3	135, 184, 295, 735, 107
5	45, 184, 295, 245, 107
	9, 184, 59, 49, 107

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 9 x 184 x 59 x 49 x 107 = 30735724320

Least Common Multiple of 540,736,590,735,428 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 540,736,590,735,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,736,590,735,428) = 1

common factors(in case of two or more numbers have common factors) = 2400

GCF(540,736,590,735,428) x common factors =1 x 2400 = 2400

LCM(540,736,590,735,428) = ( 540 × 736 × 590 × 735 × 428 ) / 2400

LCM(540,736,590,735,428) = 73765738368000 / 2400

LCM(540,736,590,735,428) = 30735724320

∴ Least Common Multiple of 540,736,590,735,428 is 30735724320

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 540, 736, 590, 735, 428

1. What is the LCM of 540, 736, 590, 735, 428?

Answer: LCM of 540, 736, 590, 735, 428 is 30735724320.

2. What are the Factors of 30735724320?

Answer: Factors of 30735724320 are . There are integers that are factors of 30735724320

3. How to Find the LCM of 540, 736, 590, 735, 428 ?

Least Common Multiple of 540, 736, 590, 735, 428.

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, 736, 590, 735, 428) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 7 x 23 x 59 x 107 = 30735724320.