Least Common Multiple of 990/91, 760/23, 979/849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 990/91, 760/23, 979/849 quickly i.e. 6696360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 990/91, 760/23, 979/849 is 6696360.

LCM(990/91, 760/23, 979/849) = 6696360

LCM of 990/91, 760/23, 979/849

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 990/91,760/23,979/849

Given numbers are 990/91,760/23,979/849

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 990,760,979

Least Common Multiple of Numerators i.e. LCM of 990,760,979 is 6696360.

GCF of Denominators means GCF of 91,23,849 as per the given fractions.

GCF of 91,23,849 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 990,760,979

LCM of Fractions 990/91,760/23,979/849 is 6696360

2 990, 760, 979
5 495, 380, 979
11 99, 76, 979
9, 76, 89

∴ So the LCM of the given numbers is 2 x 5 x 11 x 9 x 76 x 89 = 6696360

Least Common Multiple of 990,760,979 with GCF Formula

Least Common Multiple of 990,760,979 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 990,760,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(990,760,979) = 1

common factors(in case of two or more numbers have common factors) = 110

GCF(990,760,979) x common factors =1 x 110 = 110

LCM(990,760,979) = ( 990 × 760 × 979 ) / 110

LCM(990,760,979) = 736599600 / 110

LCM(990,760,979) = 6696360


Lets's calculate GCF of 91,23,849

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6696360/1

Therefore the LCM of Fractions 990/91,760/23,979/849 is 6696360

Greatest Common Factor of 91,23,849 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,23,849 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 849

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

1,3,283,849

Greatest Common Factor

We found the factors 91,23,849 . The biggest common factor number is the GCF number.
So the greatest common factor 91,23,849 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 990/91, 760/23, 979/849

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 990/91, 760/23, 979/849?

Answer: LCM of Numerators as per given numbers 990/91, 760/23, 979/849 is

LCM of Numerators i.e. for 990,760,979 is 6696360

GCF of denominators i.e. for 91,23,849 is 1.

Thus, LCM of Fractions is 6696360.Finally, LCM of Fractions for 990/91, 760/23, 979/849 is 6696360.