Least Common Multiple of 53/861, 98/252, 276/783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/861, 98/252, 276/783 quickly i.e. 238924 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/861, 98/252, 276/783 is 238924.

LCM(53/861, 98/252, 276/783) = 238924

LCM of 53/861, 98/252, 276/783

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 53/861,98/252,276/783

Given numbers are 53/861,98/252,276/783

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 53,98,276

Least Common Multiple of Numerators i.e. LCM of 53,98,276 is 716772.

GCF of Denominators means GCF of 861,252,783 as per the given fractions.

GCF of 861,252,783 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,98,276

LCM of Fractions 53/861,98/252,276/783 is 238924

2 53, 98, 276
53, 49, 138

∴ So the LCM of the given numbers is 2 x 53 x 49 x 138 = 716772

Least Common Multiple of 53,98,276 with GCF Formula

Least Common Multiple of 53,98,276 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 53,98,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,98,276) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(53,98,276) x common factors =1 x 2 = 2

LCM(53,98,276) = ( 53 × 98 × 276 ) / 2

LCM(53,98,276) = 1433544 / 2

LCM(53,98,276) = 716772


Lets's calculate GCF of 861,252,783

3 861, 252, 783
287, 84, 261

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 716772/3

Therefore the LCM of Fractions 53/861,98/252,276/783 is 238924

Greatest Common Factor of 861,252,783 By Matching Biggest Common Factor Method

Greatest Common Factor of 861,252,783 By Matching Biggest Common Factor Method

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Greatest Common Factor

We found the factors 861,252,783 . The biggest common factor number is the GCF number.
So the greatest common factor 861,252,783 is 3.


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 53/861, 98/252, 276/783

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 53/861, 98/252, 276/783?

Answer: LCM of Numerators as per given numbers 53/861, 98/252, 276/783 is

LCM of Numerators i.e. for 53,98,276 is 716772

GCF of denominators i.e. for 861,252,783 is 3.

Thus, LCM of Fractions is 238924.Finally, LCM of Fractions for 53/861, 98/252, 276/783 is 238924.