Least Common Multiple of 60/519, 21/367, 536/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/519, 21/367, 536/676 quickly i.e. 56280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/519, 21/367, 536/676 is 56280.

LCM(60/519, 21/367, 536/676) = 56280

LCM of 60/519, 21/367, 536/676

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 60/519,21/367,536/676

Given numbers are 60/519,21/367,536/676

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 60,21,536

Least Common Multiple of Numerators i.e. LCM of 60,21,536 is 56280.

GCF of Denominators means GCF of 519,367,676 as per the given fractions.

GCF of 519,367,676 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,21,536

LCM of Fractions 60/519,21/367,536/676 is 56280

2 60, 21, 536
2 30, 21, 268
3 15, 21, 134
5, 7, 134

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 134 = 56280

Least Common Multiple of 60,21,536 with GCF Formula

Least Common Multiple of 60,21,536 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 60,21,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,21,536) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(60,21,536) x common factors =1 x 12 = 12

LCM(60,21,536) = ( 60 × 21 × 536 ) / 12

LCM(60,21,536) = 675360 / 12

LCM(60,21,536) = 56280


Lets's calculate GCF of 519,367,676

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56280/1

Therefore the LCM of Fractions 60/519,21/367,536/676 is 56280

Greatest Common Factor of 519,367,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 519,367,676 By Matching Biggest Common Factor Method

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 519,367,676 . The biggest common factor number is the GCF number.
So the greatest common factor 519,367,676 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 60/519, 21/367, 536/676

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 60/519, 21/367, 536/676?

Answer: LCM of Numerators as per given numbers 60/519, 21/367, 536/676 is

LCM of Numerators i.e. for 60,21,536 is 56280

GCF of denominators i.e. for 519,367,676 is 1.

Thus, LCM of Fractions is 56280.Finally, LCM of Fractions for 60/519, 21/367, 536/676 is 56280.