Least Common Multiple of 651/11, 897/39, 742/131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 651/11, 897/39, 742/131 quickly i.e. 20632794 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 651/11, 897/39, 742/131 is 20632794.

LCM(651/11, 897/39, 742/131) = 20632794

LCM of 651/11, 897/39, 742/131

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 651/11,897/39,742/131

Given numbers are 651/11,897/39,742/131

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 651,897,742

Least Common Multiple of Numerators i.e. LCM of 651,897,742 is 20632794.

GCF of Denominators means GCF of 11,39,131 as per the given fractions.

GCF of 11,39,131 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 651,897,742

LCM of Fractions 651/11,897/39,742/131 is 20632794

3 651, 897, 742
7 217, 299, 742
31, 299, 106

∴ So the LCM of the given numbers is 3 x 7 x 31 x 299 x 106 = 20632794

Least Common Multiple of 651,897,742 with GCF Formula

Least Common Multiple of 651,897,742 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 651,897,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(651,897,742) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(651,897,742) x common factors =1 x 21 = 21

LCM(651,897,742) = ( 651 × 897 × 742 ) / 21

LCM(651,897,742) = 433288674 / 21

LCM(651,897,742) = 20632794


Lets's calculate GCF of 11,39,131

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20632794/1

Therefore the LCM of Fractions 651/11,897/39,742/131 is 20632794

Greatest Common Factor of 11,39,131 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,39,131 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Greatest Common Factor

We found the factors 11,39,131 . The biggest common factor number is the GCF number.
So the greatest common factor 11,39,131 is 1.


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Frequently Asked Questions on Fractional LCM of 651/11, 897/39, 742/131

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 651/11, 897/39, 742/131?

Answer: LCM of Numerators as per given numbers 651/11, 897/39, 742/131 is

LCM of Numerators i.e. for 651,897,742 is 20632794

GCF of denominators i.e. for 11,39,131 is 1.

Thus, LCM of Fractions is 20632794.Finally, LCM of Fractions for 651/11, 897/39, 742/131 is 20632794.