Least Common Multiple of 20/82, 95/41, 70/22, 26/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 20/82, 95/41, 70/22, 26/625 quickly i.e. 34580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/82, 95/41, 70/22, 26/625 is 34580.

LCM(20/82, 95/41, 70/22, 26/625) = 34580

LCM of 20/82, 95/41, 70/22, 26/625

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 20/82,95/41,70/22,26/625

Given numbers are 20/82,95/41,70/22,26/625

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 20,95,70,26

Least Common Multiple of Numerators i.e. LCM of 20,95,70,26 is 34580.

GCF of Denominators means GCF of 82,41,22,625 as per the given fractions.

GCF of 82,41,22,625 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,95,70,26

LCM of Fractions 20/82,95/41,70/22,26/625 is 34580

2 20, 95, 70, 26
5 10, 95, 35, 13
2, 19, 7, 13

∴ So the LCM of the given numbers is 2 x 5 x 2 x 19 x 7 x 13 = 34580

Least Common Multiple of 20,95,70,26 with GCF Formula

Least Common Multiple of 20,95,70,26 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 20,95,70,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,95,70,26) = 1

common factors(in case of two or more numbers have common factors) = 100

GCF(20,95,70,26) x common factors =1 x 100 = 100

LCM(20,95,70,26) = ( 20 × 95 × 70 × 26 ) / 100

LCM(20,95,70,26) = 3458000 / 100

LCM(20,95,70,26) = 34580


Lets's calculate GCF of 82,41,22,625

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34580/1

Therefore the LCM of Fractions 20/82,95/41,70/22,26/625 is 34580

Greatest Common Factor of 82,41,22,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,41,22,625 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 82,41,22,625 . The biggest common factor number is the GCF number.
So the greatest common factor 82,41,22,625 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 20/82, 95/41, 70/22, 26/625

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 20/82, 95/41, 70/22, 26/625?

Answer: LCM of Numerators as per given numbers 20/82, 95/41, 70/22, 26/625 is

LCM of Numerators i.e. for 20,95,70,26 is 34580

GCF of denominators i.e. for 82,41,22,625 is 1.

Thus, LCM of Fractions is 34580.Finally, LCM of Fractions for 20/82, 95/41, 70/22, 26/625 is 34580.