Least Common Multiple of 28/520, 9779/4080

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/520, 9779/4080 quickly i.e. 39116/40 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/520, 9779/4080 is 39116/40.

LCM(28/520, 9779/4080) = 39116/40

LCM of 28/520, 9779/4080

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 28/520,9779/4080

Given numbers are 28/520,9779/4080

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 28,9779

Least Common Multiple of Numerators i.e. LCM of 28,9779 is 39116.

GCF of Denominators means GCF of 520,4080 as per the given fractions.

GCF of 520,4080 is 40 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,9779

LCM of Fractions 28/520,9779/4080 is 39116/40

7 28, 9779
4, 1397

∴ So the LCM of the given numbers is 7 x 4 x 1397 = 39116

Least Common Multiple of 28,9779 with GCF Formula

Least Common Multiple of 28,9779 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 28,9779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,9779) = 7

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

GCF(28,9779) x common factors =7 x 1 = 7

LCM(28,9779) = ( 28 × 9779 ) / 7

LCM(28,9779) = 273812 / 7

LCM(28,9779) = 39116


Lets's calculate GCF of 520,4080

2 520, 4080
2 260, 2040
2 130, 1020
5 65, 510
13, 102

∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39116/40

Therefore the LCM of Fractions 28/520,9779/4080 is 39116/40

Greatest Common Factor of 520,4080 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,4080 By Matching Biggest Common Factor Method

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 4080

List of positive integer factors of 4080 that divides 4080 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,34,40,48,51,60,68,80,85,102,120,136,170,204,240,255,272,340,408,510,680,816,1020,1360,2040,4080

Greatest Common Factor

We found the factors 520,4080 . The biggest common factor number is the GCF number.
So the greatest common factor 520,4080 is 40.


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 28/520, 9779/4080

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 28/520, 9779/4080?

Answer: LCM of Numerators as per given numbers 28/520, 9779/4080 is

LCM of Numerators i.e. for 28,9779 is 39116

GCF of denominators i.e. for 520,4080 is 40.

Thus, LCM of Fractions is 39116/40.Finally, LCM of Fractions for 28/520, 9779/4080 is 39116/40.