Least Common Multiple of 991/560, 642/853, 658/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 991/560, 642/853, 658/106 quickly i.e. 209317038 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 991/560, 642/853, 658/106 is 209317038.

LCM(991/560, 642/853, 658/106) = 209317038

LCM of 991/560, 642/853, 658/106

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 991/560,642/853,658/106

Given numbers are 991/560,642/853,658/106

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 991,642,658

Least Common Multiple of Numerators i.e. LCM of 991,642,658 is 209317038.

GCF of Denominators means GCF of 560,853,106 as per the given fractions.

GCF of 560,853,106 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 991,642,658

LCM of Fractions 991/560,642/853,658/106 is 209317038

2 991, 642, 658
991, 321, 329

∴ So the LCM of the given numbers is 2 x 991 x 321 x 329 = 209317038

Least Common Multiple of 991,642,658 with GCF Formula

Least Common Multiple of 991,642,658 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 991,642,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(991,642,658) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(991,642,658) x common factors =1 x 2 = 2

LCM(991,642,658) = ( 991 × 642 × 658 ) / 2

LCM(991,642,658) = 418634076 / 2

LCM(991,642,658) = 209317038


Lets's calculate GCF of 560,853,106

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 209317038/1

Therefore the LCM of Fractions 991/560,642/853,658/106 is 209317038

Greatest Common Factor of 560,853,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,853,106 By Matching Biggest Common Factor Method

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Greatest Common Factor

We found the factors 560,853,106 . The biggest common factor number is the GCF number.
So the greatest common factor 560,853,106 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 991/560, 642/853, 658/106

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 991/560, 642/853, 658/106?

Answer: LCM of Numerators as per given numbers 991/560, 642/853, 658/106 is

LCM of Numerators i.e. for 991,642,658 is 209317038

GCF of denominators i.e. for 560,853,106 is 1.

Thus, LCM of Fractions is 209317038.Finally, LCM of Fractions for 991/560, 642/853, 658/106 is 209317038.