Least Common Multiple of 724/76, 279/4827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 724/76, 279/4827 quickly i.e. 201996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 724/76, 279/4827 is 201996.

LCM(724/76, 279/4827) = 201996

LCM of 724/76, 279/4827

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 724/76,279/4827

Given numbers are 724/76,279/4827

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 724,279

Least Common Multiple of Numerators i.e. LCM of 724,279 is 201996.

GCF of Denominators means GCF of 76,4827 as per the given fractions.

GCF of 76,4827 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 724,279

LCM of Fractions 724/76,279/4827 is 201996

Given numbers has no common factors except 1. So, there LCM is their product i.e 201996

Least Common Multiple of 724,279 with GCF Formula

Least Common Multiple of 724,279 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 724,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,279) = 1

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

GCF(724,279) x common factors =1 x 1 = 1

LCM(724,279) = ( 724 × 279 ) / 1

LCM(724,279) = 201996 / 1

LCM(724,279) = 201996


Lets's calculate GCF of 76,4827

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 201996/1

Therefore the LCM of Fractions 724/76,279/4827 is 201996

Greatest Common Factor of 76,4827 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,4827 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 4827

List of positive integer factors of 4827 that divides 4827 without a remainder.

1,3,1609,4827

Greatest Common Factor

We found the factors 76,4827 . The biggest common factor number is the GCF number.
So the greatest common factor 76,4827 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 724/76, 279/4827

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 724/76, 279/4827?

Answer: LCM of Numerators as per given numbers 724/76, 279/4827 is

LCM of Numerators i.e. for 724,279 is 201996

GCF of denominators i.e. for 76,4827 is 1.

Thus, LCM of Fractions is 201996.Finally, LCM of Fractions for 724/76, 279/4827 is 201996.