Least Common Multiple of 540, 910, 119, 289

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, 910, 119, 289 i.e. 14201460 smallest integer divisible by all numbers.

Least common multiple (LCM) of 540, 910, 119, 289 is 14201460.

LCM(540, 910, 119, 289) = 14201460

LCM of 540, 910, 119, 289

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

LCM of:

Least Common Multiple of 540,910,119,289

Least Common Multiple (LCM) of 540,910,119,289 is 14201460

2 540, 910, 119, 289
5 270, 455, 119, 289
7 54, 91, 119, 289
17 54, 13, 17, 289
54, 13, 1, 17

∴ So the LCM of the given numbers is 2 x 5 x 7 x 17 x 54 x 13 x 1 x 17 = 14201460

Least Common Multiple of 540,910,119,289 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 540,910,119,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,910,119,289) = 1

common factors(in case of two or more numbers have common factors) = 1190

GCF(540,910,119,289) x common factors =1 x 1190 = 1190

LCM(540,910,119,289) = ( 540 × 910 × 119 × 289 ) / 1190

LCM(540,910,119,289) = 16899737400 / 1190

LCM(540,910,119,289) = 14201460

∴ Least Common Multiple of 540,910,119,289 is 14201460

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 540, 910, 119, 289

1. What is the LCM of 540, 910, 119, 289?

Answer: LCM of 540, 910, 119, 289 is 14201460.

2. What are the Factors of 14201460?

Answer: Factors of 14201460 are . There are integers that are factors of 14201460

3. How to Find the LCM of 540, 910, 119, 289 ?

Least Common Multiple of 540, 910, 119, 289.

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, 910, 119, 289) = 2 x 2 x 3 x 3 x 3 x 5 x 7 x 13 x 17 x 17 = 14201460.