Least Common Multiple of 277/96, 326/43, 795/212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 277/96, 326/43, 795/212 quickly i.e. 71790090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 277/96, 326/43, 795/212 is 71790090.

LCM(277/96, 326/43, 795/212) = 71790090

LCM of 277/96, 326/43, 795/212

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 277/96,326/43,795/212

Given numbers are 277/96,326/43,795/212

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 277,326,795

Least Common Multiple of Numerators i.e. LCM of 277,326,795 is 71790090.

GCF of Denominators means GCF of 96,43,212 as per the given fractions.

GCF of 96,43,212 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 277,326,795

LCM of Fractions 277/96,326/43,795/212 is 71790090

Given numbers has no common factors except 1. So, there LCM is their product i.e 71790090

Least Common Multiple of 277,326,795 with GCF Formula

Least Common Multiple of 277,326,795 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 277,326,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,326,795) = 1

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

GCF(277,326,795) x common factors =1 x 1 = 1

LCM(277,326,795) = ( 277 × 326 × 795 ) / 1

LCM(277,326,795) = 71790090 / 1

LCM(277,326,795) = 71790090


Lets's calculate GCF of 96,43,212

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71790090/1

Therefore the LCM of Fractions 277/96,326/43,795/212 is 71790090

Greatest Common Factor of 96,43,212 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,43,212 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Greatest Common Factor

We found the factors 96,43,212 . The biggest common factor number is the GCF number.
So the greatest common factor 96,43,212 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 277/96, 326/43, 795/212

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 277/96, 326/43, 795/212?

Answer: LCM of Numerators as per given numbers 277/96, 326/43, 795/212 is

LCM of Numerators i.e. for 277,326,795 is 71790090

GCF of denominators i.e. for 96,43,212 is 1.

Thus, LCM of Fractions is 71790090.Finally, LCM of Fractions for 277/96, 326/43, 795/212 is 71790090.