Least Common Multiple of 21/13, 225/22, 504/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/13, 225/22, 504/692 quickly i.e. 12600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/13, 225/22, 504/692 is 12600.

LCM(21/13, 225/22, 504/692) = 12600

LCM of 21/13, 225/22, 504/692

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 21/13,225/22,504/692

Given numbers are 21/13,225/22,504/692

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 21,225,504

Least Common Multiple of Numerators i.e. LCM of 21,225,504 is 12600.

GCF of Denominators means GCF of 13,22,692 as per the given fractions.

GCF of 13,22,692 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,225,504

LCM of Fractions 21/13,225/22,504/692 is 12600

3 21, 225, 504
3 7, 75, 168
7 7, 25, 56
1, 25, 8

∴ So the LCM of the given numbers is 3 x 3 x 7 x 1 x 25 x 8 = 12600

Least Common Multiple of 21,225,504 with GCF Formula

Least Common Multiple of 21,225,504 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 21,225,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,225,504) = 3

common factors(in case of two or more numbers have common factors) = 63

GCF(21,225,504) x common factors =3 x 63 = 189

LCM(21,225,504) = ( 21 × 225 × 504 ) / 189

LCM(21,225,504) = 2381400 / 189

LCM(21,225,504) = 12600


Lets's calculate GCF of 13,22,692

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12600/1

Therefore the LCM of Fractions 21/13,225/22,504/692 is 12600

Greatest Common Factor of 13,22,692 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,22,692 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 22

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

1,2,11,22

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Greatest Common Factor

We found the factors 13,22,692 . The biggest common factor number is the GCF number.
So the greatest common factor 13,22,692 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 21/13, 225/22, 504/692

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 21/13, 225/22, 504/692?

Answer: LCM of Numerators as per given numbers 21/13, 225/22, 504/692 is

LCM of Numerators i.e. for 21,225,504 is 12600

GCF of denominators i.e. for 13,22,692 is 1.

Thus, LCM of Fractions is 12600.Finally, LCM of Fractions for 21/13, 225/22, 504/692 is 12600.