Least Common Multiple of 91/849, 85/749, 644/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/849, 85/749, 644/766 quickly i.e. 711620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/849, 85/749, 644/766 is 711620.

LCM(91/849, 85/749, 644/766) = 711620

LCM of 91/849, 85/749, 644/766

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 91/849,85/749,644/766

Given numbers are 91/849,85/749,644/766

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 91,85,644

Least Common Multiple of Numerators i.e. LCM of 91,85,644 is 711620.

GCF of Denominators means GCF of 849,749,766 as per the given fractions.

GCF of 849,749,766 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,85,644

LCM of Fractions 91/849,85/749,644/766 is 711620

7 91, 85, 644
13, 85, 92

∴ So the LCM of the given numbers is 7 x 13 x 85 x 92 = 711620

Least Common Multiple of 91,85,644 with GCF Formula

Least Common Multiple of 91,85,644 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 91,85,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,85,644) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(91,85,644) x common factors =1 x 7 = 7

LCM(91,85,644) = ( 91 × 85 × 644 ) / 7

LCM(91,85,644) = 4981340 / 7

LCM(91,85,644) = 711620


Lets's calculate GCF of 849,749,766

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 711620/1

Therefore the LCM of Fractions 91/849,85/749,644/766 is 711620

Greatest Common Factor of 849,749,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,749,766 By Matching Biggest Common Factor Method

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 849,749,766 . The biggest common factor number is the GCF number.
So the greatest common factor 849,749,766 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 91/849, 85/749, 644/766

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 91/849, 85/749, 644/766?

Answer: LCM of Numerators as per given numbers 91/849, 85/749, 644/766 is

LCM of Numerators i.e. for 91,85,644 is 711620

GCF of denominators i.e. for 849,749,766 is 1.

Thus, LCM of Fractions is 711620.Finally, LCM of Fractions for 91/849, 85/749, 644/766 is 711620.