Least Common Multiple of 922/21, 8364/757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 922/21, 8364/757 quickly i.e. 3855804 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 922/21, 8364/757 is 3855804.

LCM(922/21, 8364/757) = 3855804

LCM of 922/21, 8364/757

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 922/21,8364/757

Given numbers are 922/21,8364/757

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 922,8364

Least Common Multiple of Numerators i.e. LCM of 922,8364 is 3855804.

GCF of Denominators means GCF of 21,757 as per the given fractions.

GCF of 21,757 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 922,8364

LCM of Fractions 922/21,8364/757 is 3855804

2 922, 8364
461, 4182

∴ So the LCM of the given numbers is 2 x 461 x 4182 = 3855804

Least Common Multiple of 922,8364 with GCF Formula

Least Common Multiple of 922,8364 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 922,8364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(922,8364) = 2

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

GCF(922,8364) x common factors =2 x 1 = 2

LCM(922,8364) = ( 922 × 8364 ) / 2

LCM(922,8364) = 7711608 / 2

LCM(922,8364) = 3855804


Lets's calculate GCF of 21,757

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3855804/1

Therefore the LCM of Fractions 922/21,8364/757 is 3855804

Greatest Common Factor of 21,757 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,757 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Greatest Common Factor

We found the factors 21,757 . The biggest common factor number is the GCF number.
So the greatest common factor 21,757 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 922/21, 8364/757

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 922/21, 8364/757?

Answer: LCM of Numerators as per given numbers 922/21, 8364/757 is

LCM of Numerators i.e. for 922,8364 is 3855804

GCF of denominators i.e. for 21,757 is 1.

Thus, LCM of Fractions is 3855804.Finally, LCM of Fractions for 922/21, 8364/757 is 3855804.