Least Common Multiple of 516/79, 984/6100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 516/79, 984/6100 quickly i.e. 42312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 516/79, 984/6100 is 42312.

LCM(516/79, 984/6100) = 42312

LCM of 516/79, 984/6100

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 516/79,984/6100

Given numbers are 516/79,984/6100

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 516,984

Least Common Multiple of Numerators i.e. LCM of 516,984 is 42312.

GCF of Denominators means GCF of 79,6100 as per the given fractions.

GCF of 79,6100 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 516,984

LCM of Fractions 516/79,984/6100 is 42312

2 516, 984
2 258, 492
3 129, 246
43, 82

∴ So the LCM of the given numbers is 2 x 2 x 3 x 43 x 82 = 42312

Least Common Multiple of 516,984 with GCF Formula

Least Common Multiple of 516,984 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 516,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,984) = 12

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

GCF(516,984) x common factors =12 x 1 = 12

LCM(516,984) = ( 516 × 984 ) / 12

LCM(516,984) = 507744 / 12

LCM(516,984) = 42312


Lets's calculate GCF of 79,6100

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42312/1

Therefore the LCM of Fractions 516/79,984/6100 is 42312

Greatest Common Factor of 79,6100 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,6100 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 6100

List of positive integer factors of 6100 that divides 6100 without a remainder.

1,2,4,5,10,20,25,50,61,100,122,244,305,610,1220,1525,3050,6100

Greatest Common Factor

We found the factors 79,6100 . The biggest common factor number is the GCF number.
So the greatest common factor 79,6100 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 516/79, 984/6100

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 516/79, 984/6100?

Answer: LCM of Numerators as per given numbers 516/79, 984/6100 is

LCM of Numerators i.e. for 516,984 is 42312

GCF of denominators i.e. for 79,6100 is 1.

Thus, LCM of Fractions is 42312.Finally, LCM of Fractions for 516/79, 984/6100 is 42312.