Least Common Multiple of 510/61, 486/44, 136/381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 510/61, 486/44, 136/381 quickly i.e. 165240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 510/61, 486/44, 136/381 is 165240.

LCM(510/61, 486/44, 136/381) = 165240

LCM of 510/61, 486/44, 136/381

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 510/61,486/44,136/381

Given numbers are 510/61,486/44,136/381

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 510,486,136

Least Common Multiple of Numerators i.e. LCM of 510,486,136 is 165240.

GCF of Denominators means GCF of 61,44,381 as per the given fractions.

GCF of 61,44,381 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 510,486,136

LCM of Fractions 510/61,486/44,136/381 is 165240

2 510, 486, 136
3 255, 243, 68
17 85, 81, 68
5, 81, 4

∴ So the LCM of the given numbers is 2 x 3 x 17 x 5 x 81 x 4 = 165240

Least Common Multiple of 510,486,136 with GCF Formula

Least Common Multiple of 510,486,136 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 510,486,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,486,136) = 2

common factors(in case of two or more numbers have common factors) = 102

GCF(510,486,136) x common factors =2 x 102 = 204

LCM(510,486,136) = ( 510 × 486 × 136 ) / 204

LCM(510,486,136) = 33708960 / 204

LCM(510,486,136) = 165240


Lets's calculate GCF of 61,44,381

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 165240/1

Therefore the LCM of Fractions 510/61,486/44,136/381 is 165240

Greatest Common Factor of 61,44,381 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,44,381 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Greatest Common Factor

We found the factors 61,44,381 . The biggest common factor number is the GCF number.
So the greatest common factor 61,44,381 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 510/61, 486/44, 136/381

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 510/61, 486/44, 136/381?

Answer: LCM of Numerators as per given numbers 510/61, 486/44, 136/381 is

LCM of Numerators i.e. for 510,486,136 is 165240

GCF of denominators i.e. for 61,44,381 is 1.

Thus, LCM of Fractions is 165240.Finally, LCM of Fractions for 510/61, 486/44, 136/381 is 165240.