Least Common Multiple of 26/12, 572/33, 821/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/12, 572/33, 821/564 quickly i.e. 469612/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/12, 572/33, 821/564 is 469612/3.

LCM(26/12, 572/33, 821/564) = 469612/3

LCM of 26/12, 572/33, 821/564

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 26/12,572/33,821/564

Given numbers are 26/12,572/33,821/564

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 26,572,821

Least Common Multiple of Numerators i.e. LCM of 26,572,821 is 469612.

GCF of Denominators means GCF of 12,33,564 as per the given fractions.

GCF of 12,33,564 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,572,821

LCM of Fractions 26/12,572/33,821/564 is 469612/3

2 26, 572, 821
13 13, 286, 821
1, 22, 821

∴ So the LCM of the given numbers is 2 x 13 x 1 x 22 x 821 = 469612

Least Common Multiple of 26,572,821 with GCF Formula

Least Common Multiple of 26,572,821 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 26,572,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,572,821) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(26,572,821) x common factors =1 x 26 = 26

LCM(26,572,821) = ( 26 × 572 × 821 ) / 26

LCM(26,572,821) = 12209912 / 26

LCM(26,572,821) = 469612


Lets's calculate GCF of 12,33,564

3 12, 33, 564
4, 11, 188

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 469612/3

Therefore the LCM of Fractions 26/12,572/33,821/564 is 469612/3

Greatest Common Factor of 12,33,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,33,564 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 12,33,564 . The biggest common factor number is the GCF number.
So the greatest common factor 12,33,564 is 3.


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 26/12, 572/33, 821/564

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 26/12, 572/33, 821/564?

Answer: LCM of Numerators as per given numbers 26/12, 572/33, 821/564 is

LCM of Numerators i.e. for 26,572,821 is 469612

GCF of denominators i.e. for 12,33,564 is 3.

Thus, LCM of Fractions is 469612/3.Finally, LCM of Fractions for 26/12, 572/33, 821/564 is 469612/3.