Least Common Multiple of 89/233, 772/232, 519/131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 89/233, 772/232, 519/131 quickly i.e. 35659452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/233, 772/232, 519/131 is 35659452.

LCM(89/233, 772/232, 519/131) = 35659452

LCM of 89/233, 772/232, 519/131

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 89/233,772/232,519/131

Given numbers are 89/233,772/232,519/131

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 89,772,519

Least Common Multiple of Numerators i.e. LCM of 89,772,519 is 35659452.

GCF of Denominators means GCF of 233,232,131 as per the given fractions.

GCF of 233,232,131 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,772,519

LCM of Fractions 89/233,772/232,519/131 is 35659452

Given numbers has no common factors except 1. So, there LCM is their product i.e 35659452

Least Common Multiple of 89,772,519 with GCF Formula

Least Common Multiple of 89,772,519 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 89,772,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,772,519) = 1

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

GCF(89,772,519) x common factors =1 x 1 = 1

LCM(89,772,519) = ( 89 × 772 × 519 ) / 1

LCM(89,772,519) = 35659452 / 1

LCM(89,772,519) = 35659452


Lets's calculate GCF of 233,232,131

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35659452/1

Therefore the LCM of Fractions 89/233,772/232,519/131 is 35659452

Greatest Common Factor of 233,232,131 By Matching Biggest Common Factor Method

Greatest Common Factor of 233,232,131 By Matching Biggest Common Factor Method

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Greatest Common Factor

We found the factors 233,232,131 . The biggest common factor number is the GCF number.
So the greatest common factor 233,232,131 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 89/233, 772/232, 519/131

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 89/233, 772/232, 519/131?

Answer: LCM of Numerators as per given numbers 89/233, 772/232, 519/131 is

LCM of Numerators i.e. for 89,772,519 is 35659452

GCF of denominators i.e. for 233,232,131 is 1.

Thus, LCM of Fractions is 35659452.Finally, LCM of Fractions for 89/233, 772/232, 519/131 is 35659452.