Least Common Multiple of 514, 144

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 514, 144 i.e. 37008 smallest integer divisible by all numbers.

Least common multiple (LCM) of 514, 144 is 37008.

LCM(514, 144) = 37008

LCM of 514, 144

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

LCM of:

Least Common Multiple of 514,144

Least Common Multiple (LCM) of 514,144 is 37008

2 514, 144
257, 72

∴ So the LCM of the given numbers is 2 x 257 x 72 = 37008

Least Common Multiple of 514,144 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 514,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,144) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(514,144) x common factors =2 x 1 = 2

LCM(514,144) = ( 514 × 144 ) / 2

LCM(514,144) = 74016 / 2

LCM(514,144) = 37008

∴ Least Common Multiple of 514,144 is 37008

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 514, 144

1. What is the LCM of 514, 144?

Answer: LCM of 514, 144 is 37008.

2. What are the Factors of 37008?

Answer: Factors of 37008 are . There are integers that are factors of 37008

3. How to Find the LCM of 514, 144 ?

Least Common Multiple of 514, 144.

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(514, 144) = 2 x 2 x 2 x 2 x 3 x 3 x 257 = 37008.