Least Common Multiple of 938/78, 454/8824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 938/78, 454/8824 quickly i.e. 106463 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 938/78, 454/8824 is 106463.

LCM(938/78, 454/8824) = 106463

LCM of 938/78, 454/8824

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 938/78,454/8824

Given numbers are 938/78,454/8824

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 938,454

Least Common Multiple of Numerators i.e. LCM of 938,454 is 212926.

GCF of Denominators means GCF of 78,8824 as per the given fractions.

GCF of 78,8824 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 938,454

LCM of Fractions 938/78,454/8824 is 106463

2 938, 454
469, 227

∴ So the LCM of the given numbers is 2 x 469 x 227 = 212926

Least Common Multiple of 938,454 with GCF Formula

Least Common Multiple of 938,454 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 938,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,454) = 2

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

GCF(938,454) x common factors =2 x 1 = 2

LCM(938,454) = ( 938 × 454 ) / 2

LCM(938,454) = 425852 / 2

LCM(938,454) = 212926


Lets's calculate GCF of 78,8824

2 78, 8824
39, 4412

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212926/2

Therefore the LCM of Fractions 938/78,454/8824 is 106463

Greatest Common Factor of 78,8824 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,8824 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 8824

List of positive integer factors of 8824 that divides 8824 without a remainder.

1,2,4,8,1103,2206,4412,8824

Greatest Common Factor

We found the factors 78,8824 . The biggest common factor number is the GCF number.
So the greatest common factor 78,8824 is 2.


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 938/78, 454/8824

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 938/78, 454/8824?

Answer: LCM of Numerators as per given numbers 938/78, 454/8824 is

LCM of Numerators i.e. for 938,454 is 212926

GCF of denominators i.e. for 78,8824 is 2.

Thus, LCM of Fractions is 106463.Finally, LCM of Fractions for 938/78, 454/8824 is 106463.