Least Common Multiple of 519/84, 872/64, 696/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 519/84, 872/64, 696/920 quickly i.e. 3281118 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 519/84, 872/64, 696/920 is 3281118.

LCM(519/84, 872/64, 696/920) = 3281118

LCM of 519/84, 872/64, 696/920

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 519/84,872/64,696/920

Given numbers are 519/84,872/64,696/920

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 519,872,696

Least Common Multiple of Numerators i.e. LCM of 519,872,696 is 13124472.

GCF of Denominators means GCF of 84,64,920 as per the given fractions.

GCF of 84,64,920 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 519,872,696

LCM of Fractions 519/84,872/64,696/920 is 3281118

2 519, 872, 696
2 519, 436, 348
2 519, 218, 174
3 519, 109, 87
173, 109, 29

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 173 x 109 x 29 = 13124472

Least Common Multiple of 519,872,696 with GCF Formula

Least Common Multiple of 519,872,696 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 519,872,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(519,872,696) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(519,872,696) x common factors =1 x 24 = 24

LCM(519,872,696) = ( 519 × 872 × 696 ) / 24

LCM(519,872,696) = 314987328 / 24

LCM(519,872,696) = 13124472


Lets's calculate GCF of 84,64,920

2 84, 64, 920
2 42, 32, 460
21, 16, 230

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13124472/4

Therefore the LCM of Fractions 519/84,872/64,696/920 is 3281118

Greatest Common Factor of 84,64,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,64,920 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 84,64,920 . The biggest common factor number is the GCF number.
So the greatest common factor 84,64,920 is 4.


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 519/84, 872/64, 696/920

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 519/84, 872/64, 696/920?

Answer: LCM of Numerators as per given numbers 519/84, 872/64, 696/920 is

LCM of Numerators i.e. for 519,872,696 is 13124472

GCF of denominators i.e. for 84,64,920 is 4.

Thus, LCM of Fractions is 3281118.Finally, LCM of Fractions for 519/84, 872/64, 696/920 is 3281118.