Least Common Multiple of 21/88, 41/53, 39/43, 22/526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/88, 41/53, 39/43, 22/526 quickly i.e. 246246 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/88, 41/53, 39/43, 22/526 is 246246.

LCM(21/88, 41/53, 39/43, 22/526) = 246246

LCM of 21/88, 41/53, 39/43, 22/526

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 21/88,41/53,39/43,22/526

Given numbers are 21/88,41/53,39/43,22/526

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 21,41,39,22

Least Common Multiple of Numerators i.e. LCM of 21,41,39,22 is 246246.

GCF of Denominators means GCF of 88,53,43,526 as per the given fractions.

GCF of 88,53,43,526 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,41,39,22

LCM of Fractions 21/88,41/53,39/43,22/526 is 246246

3 21, 41, 39, 22
7, 41, 13, 22

∴ So the LCM of the given numbers is 3 x 7 x 41 x 13 x 22 = 246246

Least Common Multiple of 21,41,39,22 with GCF Formula

Least Common Multiple of 21,41,39,22 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 21,41,39,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,41,39,22) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(21,41,39,22) x common factors =1 x 3 = 3

LCM(21,41,39,22) = ( 21 × 41 × 39 × 22 ) / 3

LCM(21,41,39,22) = 738738 / 3

LCM(21,41,39,22) = 246246


Lets's calculate GCF of 88,53,43,526

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 246246/1

Therefore the LCM of Fractions 21/88,41/53,39/43,22/526 is 246246

Greatest Common Factor of 88,53,43,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,53,43,526 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Greatest Common Factor

We found the factors 88,53,43,526 . The biggest common factor number is the GCF number.
So the greatest common factor 88,53,43,526 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 21/88, 41/53, 39/43, 22/526

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 21/88, 41/53, 39/43, 22/526?

Answer: LCM of Numerators as per given numbers 21/88, 41/53, 39/43, 22/526 is

LCM of Numerators i.e. for 21,41,39,22 is 246246

GCF of denominators i.e. for 88,53,43,526 is 1.

Thus, LCM of Fractions is 246246.Finally, LCM of Fractions for 21/88, 41/53, 39/43, 22/526 is 246246.