Least Common Multiple of 276/31, 610/8753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 276/31, 610/8753 quickly i.e. 84180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 276/31, 610/8753 is 84180.

LCM(276/31, 610/8753) = 84180

LCM of 276/31, 610/8753

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 276/31,610/8753

Given numbers are 276/31,610/8753

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 276,610

Least Common Multiple of Numerators i.e. LCM of 276,610 is 84180.

GCF of Denominators means GCF of 31,8753 as per the given fractions.

GCF of 31,8753 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 276,610

LCM of Fractions 276/31,610/8753 is 84180

2 276, 610
138, 305

∴ So the LCM of the given numbers is 2 x 138 x 305 = 84180

Least Common Multiple of 276,610 with GCF Formula

Least Common Multiple of 276,610 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 276,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,610) = 2

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

GCF(276,610) x common factors =2 x 1 = 2

LCM(276,610) = ( 276 × 610 ) / 2

LCM(276,610) = 168360 / 2

LCM(276,610) = 84180


Lets's calculate GCF of 31,8753

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84180/1

Therefore the LCM of Fractions 276/31,610/8753 is 84180

Greatest Common Factor of 31,8753 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,8753 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 8753

List of positive integer factors of 8753 that divides 8753 without a remainder.

1,8753

Greatest Common Factor

We found the factors 31,8753 . The biggest common factor number is the GCF number.
So the greatest common factor 31,8753 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 276/31, 610/8753

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 276/31, 610/8753?

Answer: LCM of Numerators as per given numbers 276/31, 610/8753 is

LCM of Numerators i.e. for 276,610 is 84180

GCF of denominators i.e. for 31,8753 is 1.

Thus, LCM of Fractions is 84180.Finally, LCM of Fractions for 276/31, 610/8753 is 84180.