Least Common Multiple of 922/20, 564/2601

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 922/20, 564/2601 quickly i.e. 260004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 922/20, 564/2601 is 260004.

LCM(922/20, 564/2601) = 260004

LCM of 922/20, 564/2601

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 922/20,564/2601

Given numbers are 922/20,564/2601

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 922,564

Least Common Multiple of Numerators i.e. LCM of 922,564 is 260004.

GCF of Denominators means GCF of 20,2601 as per the given fractions.

GCF of 20,2601 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 922,564

LCM of Fractions 922/20,564/2601 is 260004

2 922, 564
461, 282

∴ So the LCM of the given numbers is 2 x 461 x 282 = 260004

Least Common Multiple of 922,564 with GCF Formula

Least Common Multiple of 922,564 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 922,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(922,564) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(922,564) x common factors =2 x 1 = 2

LCM(922,564) = ( 922 × 564 ) / 2

LCM(922,564) = 520008 / 2

LCM(922,564) = 260004


Lets's calculate GCF of 20,2601

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 260004/1

Therefore the LCM of Fractions 922/20,564/2601 is 260004

Greatest Common Factor of 20,2601 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,2601 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 2601

List of positive integer factors of 2601 that divides 2601 without a remainder.

1,3,9,17,51,153,289,867,2601

Greatest Common Factor

We found the factors 20,2601 . The biggest common factor number is the GCF number.
So the greatest common factor 20,2601 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 922/20, 564/2601

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 922/20, 564/2601?

Answer: LCM of Numerators as per given numbers 922/20, 564/2601 is

LCM of Numerators i.e. for 922,564 is 260004

GCF of denominators i.e. for 20,2601 is 1.

Thus, LCM of Fractions is 260004.Finally, LCM of Fractions for 922/20, 564/2601 is 260004.