Least Common Multiple of 91/85, 79/98, 45/20, 64/787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 91/85, 79/98, 45/20, 64/787 quickly i.e. 20704320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/85, 79/98, 45/20, 64/787 is 20704320.

LCM(91/85, 79/98, 45/20, 64/787) = 20704320

LCM of 91/85, 79/98, 45/20, 64/787

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 91/85,79/98,45/20,64/787

Given numbers are 91/85,79/98,45/20,64/787

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 91,79,45,64

Least Common Multiple of Numerators i.e. LCM of 91,79,45,64 is 20704320.

GCF of Denominators means GCF of 85,98,20,787 as per the given fractions.

GCF of 85,98,20,787 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,79,45,64

LCM of Fractions 91/85,79/98,45/20,64/787 is 20704320

Given numbers has no common factors except 1. So, there LCM is their product i.e 20704320

Least Common Multiple of 91,79,45,64 with GCF Formula

Least Common Multiple of 91,79,45,64 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 91,79,45,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,79,45,64) = 1

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

GCF(91,79,45,64) x common factors =1 x 1 = 1

LCM(91,79,45,64) = ( 91 × 79 × 45 × 64 ) / 1

LCM(91,79,45,64) = 20704320 / 1

LCM(91,79,45,64) = 20704320


Lets's calculate GCF of 85,98,20,787

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20704320/1

Therefore the LCM of Fractions 91/85,79/98,45/20,64/787 is 20704320

Greatest Common Factor of 85,98,20,787 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,98,20,787 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Greatest Common Factor

We found the factors 85,98,20,787 . The biggest common factor number is the GCF number.
So the greatest common factor 85,98,20,787 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 91/85, 79/98, 45/20, 64/787

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 91/85, 79/98, 45/20, 64/787?

Answer: LCM of Numerators as per given numbers 91/85, 79/98, 45/20, 64/787 is

LCM of Numerators i.e. for 91,79,45,64 is 20704320

GCF of denominators i.e. for 85,98,20,787 is 1.

Thus, LCM of Fractions is 20704320.Finally, LCM of Fractions for 91/85, 79/98, 45/20, 64/787 is 20704320.