Least Common Multiple of 91/165, 40/296, 677/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 91/165, 40/296, 677/187 quickly i.e. 2464280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/165, 40/296, 677/187 is 2464280.

LCM(91/165, 40/296, 677/187) = 2464280

LCM of 91/165, 40/296, 677/187

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 91/165,40/296,677/187

Given numbers are 91/165,40/296,677/187

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 91,40,677

Least Common Multiple of Numerators i.e. LCM of 91,40,677 is 2464280.

GCF of Denominators means GCF of 165,296,187 as per the given fractions.

GCF of 165,296,187 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,40,677

LCM of Fractions 91/165,40/296,677/187 is 2464280

Given numbers has no common factors except 1. So, there LCM is their product i.e 2464280

Least Common Multiple of 91,40,677 with GCF Formula

Least Common Multiple of 91,40,677 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 91,40,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,40,677) = 1

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

GCF(91,40,677) x common factors =1 x 1 = 1

LCM(91,40,677) = ( 91 × 40 × 677 ) / 1

LCM(91,40,677) = 2464280 / 1

LCM(91,40,677) = 2464280


Lets's calculate GCF of 165,296,187

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2464280/1

Therefore the LCM of Fractions 91/165,40/296,677/187 is 2464280

Greatest Common Factor of 165,296,187 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,296,187 By Matching Biggest Common Factor Method

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Greatest Common Factor

We found the factors 165,296,187 . The biggest common factor number is the GCF number.
So the greatest common factor 165,296,187 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 91/165, 40/296, 677/187

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 91/165, 40/296, 677/187?

Answer: LCM of Numerators as per given numbers 91/165, 40/296, 677/187 is

LCM of Numerators i.e. for 91,40,677 is 2464280

GCF of denominators i.e. for 165,296,187 is 1.

Thus, LCM of Fractions is 2464280.Finally, LCM of Fractions for 91/165, 40/296, 677/187 is 2464280.