Least Common Multiple of 21/52, 86/38, 82/86, 86/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/52, 86/38, 82/86, 86/988 quickly i.e. 37023 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/52, 86/38, 82/86, 86/988 is 37023.

LCM(21/52, 86/38, 82/86, 86/988) = 37023

LCM of 21/52, 86/38, 82/86, 86/988

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 21/52,86/38,82/86,86/988

Given numbers are 21/52,86/38,82/86,86/988

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 21,86,82,86

Least Common Multiple of Numerators i.e. LCM of 21,86,82,86 is 74046.

GCF of Denominators means GCF of 52,38,86,988 as per the given fractions.

GCF of 52,38,86,988 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,86,82,86

LCM of Fractions 21/52,86/38,82/86,86/988 is 37023

2 21, 86, 82, 86
43 21, 43, 41, 43
21, 1, 41, 1

∴ So the LCM of the given numbers is 2 x 43 x 21 x 1 x 41 x 1 = 74046

Least Common Multiple of 21,86,82,86 with GCF Formula

Least Common Multiple of 21,86,82,86 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 21,86,82,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,86,82,86) = 1

common factors(in case of two or more numbers have common factors) = 172

GCF(21,86,82,86) x common factors =1 x 172 = 172

LCM(21,86,82,86) = ( 21 × 86 × 82 × 86 ) / 172

LCM(21,86,82,86) = 12735912 / 172

LCM(21,86,82,86) = 74046


Lets's calculate GCF of 52,38,86,988

2 52, 38, 86, 988
26, 19, 43, 494

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74046/2

Therefore the LCM of Fractions 21/52,86/38,82/86,86/988 is 37023

Greatest Common Factor of 52,38,86,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,38,86,988 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 52,38,86,988 . The biggest common factor number is the GCF number.
So the greatest common factor 52,38,86,988 is 2.


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 21/52, 86/38, 82/86, 86/988

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 21/52, 86/38, 82/86, 86/988?

Answer: LCM of Numerators as per given numbers 21/52, 86/38, 82/86, 86/988 is

LCM of Numerators i.e. for 21,86,82,86 is 74046

GCF of denominators i.e. for 52,38,86,988 is 2.

Thus, LCM of Fractions is 37023.Finally, LCM of Fractions for 21/52, 86/38, 82/86, 86/988 is 37023.