Least Common Multiple of 21/34, 58/40, 86/71, 52/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/34, 58/40, 86/71, 52/886 quickly i.e. 1361724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/34, 58/40, 86/71, 52/886 is 1361724.

LCM(21/34, 58/40, 86/71, 52/886) = 1361724

LCM of 21/34, 58/40, 86/71, 52/886

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 21/34,58/40,86/71,52/886

Given numbers are 21/34,58/40,86/71,52/886

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 21,58,86,52

Least Common Multiple of Numerators i.e. LCM of 21,58,86,52 is 1361724.

GCF of Denominators means GCF of 34,40,71,886 as per the given fractions.

GCF of 34,40,71,886 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,58,86,52

LCM of Fractions 21/34,58/40,86/71,52/886 is 1361724

2 21, 58, 86, 52
21, 29, 43, 26

∴ So the LCM of the given numbers is 2 x 21 x 29 x 43 x 26 = 1361724

Least Common Multiple of 21,58,86,52 with GCF Formula

Least Common Multiple of 21,58,86,52 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 21,58,86,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,58,86,52) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(21,58,86,52) x common factors =1 x 4 = 4

LCM(21,58,86,52) = ( 21 × 58 × 86 × 52 ) / 4

LCM(21,58,86,52) = 5446896 / 4

LCM(21,58,86,52) = 1361724


Lets's calculate GCF of 34,40,71,886

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1361724/1

Therefore the LCM of Fractions 21/34,58/40,86/71,52/886 is 1361724

Greatest Common Factor of 34,40,71,886 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,40,71,886 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

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

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Greatest Common Factor

We found the factors 34,40,71,886 . The biggest common factor number is the GCF number.
So the greatest common factor 34,40,71,886 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 21/34, 58/40, 86/71, 52/886

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 21/34, 58/40, 86/71, 52/886?

Answer: LCM of Numerators as per given numbers 21/34, 58/40, 86/71, 52/886 is

LCM of Numerators i.e. for 21,58,86,52 is 1361724

GCF of denominators i.e. for 34,40,71,886 is 1.

Thus, LCM of Fractions is 1361724.Finally, LCM of Fractions for 21/34, 58/40, 86/71, 52/886 is 1361724.