Least Common Multiple of 6988/275, 9153/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6988/275, 9153/508 quickly i.e. 63961164 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6988/275, 9153/508 is 63961164.

LCM(6988/275, 9153/508) = 63961164

LCM of 6988/275, 9153/508

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 6988/275,9153/508

Given numbers are 6988/275,9153/508

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 6988,9153

Least Common Multiple of Numerators i.e. LCM of 6988,9153 is 63961164.

GCF of Denominators means GCF of 275,508 as per the given fractions.

GCF of 275,508 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6988,9153

LCM of Fractions 6988/275,9153/508 is 63961164

Given numbers has no common factors except 1. So, there LCM is their product i.e 63961164

Least Common Multiple of 6988,9153 with GCF Formula

Least Common Multiple of 6988,9153 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 6988,9153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6988,9153) = 1

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

GCF(6988,9153) x common factors =1 x 1 = 1

LCM(6988,9153) = ( 6988 × 9153 ) / 1

LCM(6988,9153) = 63961164 / 1

LCM(6988,9153) = 63961164


Lets's calculate GCF of 275,508

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63961164/1

Therefore the LCM of Fractions 6988/275,9153/508 is 63961164

Greatest Common Factor of 275,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 275,508 By Matching Biggest Common Factor Method

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors 275,508 . The biggest common factor number is the GCF number.
So the greatest common factor 275,508 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6988/275, 9153/508

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 6988/275, 9153/508?

Answer: LCM of Numerators as per given numbers 6988/275, 9153/508 is

LCM of Numerators i.e. for 6988,9153 is 63961164

GCF of denominators i.e. for 275,508 is 1.

Thus, LCM of Fractions is 63961164.Finally, LCM of Fractions for 6988/275, 9153/508 is 63961164.