Least Common Multiple of 57, 54, 71, 380

Q: How to Find the LCM of 57, 54, 71, 380 ?

Least Common Multiple of 57, 54, 71, 380 = 728460 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(57, 54, 71, 380) = 2 x 2 x 3 x 3 x 3 x 5 x 19 x 71 = 728460.

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 57, 54, 71, 380 i.e. 728460 smallest integer divisible by all numbers.

Least common multiple (LCM) of 57, 54, 71, 380 is 728460.

LCM(57, 54, 71, 380) = 728460

LCM of 57, 54, 71, 380

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

Least Common Multiple of 57, 54, 71, 380 by common division method
Least Common Multiple of 57, 54, 71, 380 with GCF Formula

Least Common Multiple of 57,54,71,380

Least Common Multiple (LCM) of 57,54,71,380 is 728460

2	57, 54, 71, 380
3	57, 27, 71, 190
19	19, 9, 71, 190
	1, 9, 71, 10

∴ So the LCM of the given numbers is 2 x 3 x 19 x 1 x 9 x 71 x 10 = 728460

Least Common Multiple of 57,54,71,380 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 57,54,71,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,54,71,380) = 1

common factors(in case of two or more numbers have common factors) = 114

GCF(57,54,71,380) x common factors =1 x 114 = 114

LCM(57,54,71,380) = ( 57 × 54 × 71 × 380 ) / 114

LCM(57,54,71,380) = 83044440 / 114

LCM(57,54,71,380) = 728460

∴ Least Common Multiple of 57,54,71,380 is 728460

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 57, 54, 71, 380

1. What is the LCM of 57, 54, 71, 380?

Answer: LCM of 57, 54, 71, 380 is 728460.

2. What are the Factors of 728460?

Answer: Factors of 728460 are . There are integers that are factors of 728460

3. How to Find the LCM of 57, 54, 71, 380 ?

Least Common Multiple of 57, 54, 71, 380.

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(57, 54, 71, 380) = 2 x 2 x 3 x 3 x 3 x 5 x 19 x 71 = 728460.