Least Common Multiple of 40/80, 26/42, 22/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 40/80, 26/42, 22/634 quickly i.e. 2860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/80, 26/42, 22/634 is 2860.

LCM(40/80, 26/42, 22/634) = 2860

LCM of 40/80, 26/42, 22/634

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 40/80,26/42,22/634

Given numbers are 40/80,26/42,22/634

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 40,26,22

Least Common Multiple of Numerators i.e. LCM of 40,26,22 is 5720.

GCF of Denominators means GCF of 80,42,634 as per the given fractions.

GCF of 80,42,634 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,26,22

LCM of Fractions 40/80,26/42,22/634 is 2860

2 40, 26, 22
20, 13, 11

∴ So the LCM of the given numbers is 2 x 20 x 13 x 11 = 5720

Least Common Multiple of 40,26,22 with GCF Formula

Least Common Multiple of 40,26,22 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 40,26,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,26,22) = 2

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

GCF(40,26,22) x common factors =2 x 2 = 4

LCM(40,26,22) = ( 40 × 26 × 22 ) / 4

LCM(40,26,22) = 22880 / 4

LCM(40,26,22) = 5720


Lets's calculate GCF of 80,42,634

2 80, 42, 634
40, 21, 317

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5720/2

Therefore the LCM of Fractions 40/80,26/42,22/634 is 2860

Greatest Common Factor of 80,42,634 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,42,634 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Greatest Common Factor

We found the factors 80,42,634 . The biggest common factor number is the GCF number.
So the greatest common factor 80,42,634 is 2.


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Frequently Asked Questions on Fractional LCM of 40/80, 26/42, 22/634

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 40/80, 26/42, 22/634?

Answer: LCM of Numerators as per given numbers 40/80, 26/42, 22/634 is

LCM of Numerators i.e. for 40,26,22 is 5720

GCF of denominators i.e. for 80,42,634 is 2.

Thus, LCM of Fractions is 2860.Finally, LCM of Fractions for 40/80, 26/42, 22/634 is 2860.