Least Common Multiple of 516/995, 5672/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 516/995, 5672/336 quickly i.e. 731688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 516/995, 5672/336 is 731688.

LCM(516/995, 5672/336) = 731688

LCM of 516/995, 5672/336

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 516/995,5672/336

Given numbers are 516/995,5672/336

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 516,5672

Least Common Multiple of Numerators i.e. LCM of 516,5672 is 731688.

GCF of Denominators means GCF of 995,336 as per the given fractions.

GCF of 995,336 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 516,5672

LCM of Fractions 516/995,5672/336 is 731688

2 516, 5672
2 258, 2836
129, 1418

∴ So the LCM of the given numbers is 2 x 2 x 129 x 1418 = 731688

Least Common Multiple of 516,5672 with GCF Formula

Least Common Multiple of 516,5672 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 516,5672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,5672) = 4

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

GCF(516,5672) x common factors =4 x 1 = 4

LCM(516,5672) = ( 516 × 5672 ) / 4

LCM(516,5672) = 2926752 / 4

LCM(516,5672) = 731688


Lets's calculate GCF of 995,336

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 731688/1

Therefore the LCM of Fractions 516/995,5672/336 is 731688

Greatest Common Factor of 995,336 By Matching Biggest Common Factor Method

Greatest Common Factor of 995,336 By Matching Biggest Common Factor Method

Factors of 995

List of positive integer factors of 995 that divides 995 without a remainder.

1,5,199,995

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Greatest Common Factor

We found the factors 995,336 . The biggest common factor number is the GCF number.
So the greatest common factor 995,336 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 516/995, 5672/336

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 516/995, 5672/336?

Answer: LCM of Numerators as per given numbers 516/995, 5672/336 is

LCM of Numerators i.e. for 516,5672 is 731688

GCF of denominators i.e. for 995,336 is 1.

Thus, LCM of Fractions is 731688.Finally, LCM of Fractions for 516/995, 5672/336 is 731688.