Least Common Multiple of 422/991, 616/892, 840/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 422/991, 616/892, 840/676 quickly i.e. 1949640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 422/991, 616/892, 840/676 is 1949640.

LCM(422/991, 616/892, 840/676) = 1949640

LCM of 422/991, 616/892, 840/676

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 422/991,616/892,840/676

Given numbers are 422/991,616/892,840/676

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 422,616,840

Least Common Multiple of Numerators i.e. LCM of 422,616,840 is 1949640.

GCF of Denominators means GCF of 991,892,676 as per the given fractions.

GCF of 991,892,676 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 422,616,840

LCM of Fractions 422/991,616/892,840/676 is 1949640

2 422, 616, 840
2 211, 308, 420
2 211, 154, 210
7 211, 77, 105
211, 11, 15

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 211 x 11 x 15 = 1949640

Least Common Multiple of 422,616,840 with GCF Formula

Least Common Multiple of 422,616,840 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 422,616,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,616,840) = 2

common factors(in case of two or more numbers have common factors) = 56

GCF(422,616,840) x common factors =2 x 56 = 112

LCM(422,616,840) = ( 422 × 616 × 840 ) / 112

LCM(422,616,840) = 218359680 / 112

LCM(422,616,840) = 1949640


Lets's calculate GCF of 991,892,676

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1949640/1

Therefore the LCM of Fractions 422/991,616/892,840/676 is 1949640

Greatest Common Factor of 991,892,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 991,892,676 By Matching Biggest Common Factor Method

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 991,892,676 . The biggest common factor number is the GCF number.
So the greatest common factor 991,892,676 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 422/991, 616/892, 840/676

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 422/991, 616/892, 840/676?

Answer: LCM of Numerators as per given numbers 422/991, 616/892, 840/676 is

LCM of Numerators i.e. for 422,616,840 is 1949640

GCF of denominators i.e. for 991,892,676 is 1.

Thus, LCM of Fractions is 1949640.Finally, LCM of Fractions for 422/991, 616/892, 840/676 is 1949640.