Least Common Multiple of 87/397, 91/456, 347/921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/397, 91/456, 347/921 quickly i.e. 2747199 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/397, 91/456, 347/921 is 2747199.

LCM(87/397, 91/456, 347/921) = 2747199

LCM of 87/397, 91/456, 347/921

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 87/397,91/456,347/921

Given numbers are 87/397,91/456,347/921

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 87,91,347

Least Common Multiple of Numerators i.e. LCM of 87,91,347 is 2747199.

GCF of Denominators means GCF of 397,456,921 as per the given fractions.

GCF of 397,456,921 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,91,347

LCM of Fractions 87/397,91/456,347/921 is 2747199

Given numbers has no common factors except 1. So, there LCM is their product i.e 2747199

Least Common Multiple of 87,91,347 with GCF Formula

Least Common Multiple of 87,91,347 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 87,91,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,91,347) = 1

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

GCF(87,91,347) x common factors =1 x 1 = 1

LCM(87,91,347) = ( 87 × 91 × 347 ) / 1

LCM(87,91,347) = 2747199 / 1

LCM(87,91,347) = 2747199


Lets's calculate GCF of 397,456,921

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2747199/1

Therefore the LCM of Fractions 87/397,91/456,347/921 is 2747199

Greatest Common Factor of 397,456,921 By Matching Biggest Common Factor Method

Greatest Common Factor of 397,456,921 By Matching Biggest Common Factor Method

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Greatest Common Factor

We found the factors 397,456,921 . The biggest common factor number is the GCF number.
So the greatest common factor 397,456,921 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 87/397, 91/456, 347/921

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 87/397, 91/456, 347/921?

Answer: LCM of Numerators as per given numbers 87/397, 91/456, 347/921 is

LCM of Numerators i.e. for 87,91,347 is 2747199

GCF of denominators i.e. for 397,456,921 is 1.

Thus, LCM of Fractions is 2747199.Finally, LCM of Fractions for 87/397, 91/456, 347/921 is 2747199.