Least Common Multiple of 453/78, 928/94, 421/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 453/78, 928/94, 421/242 quickly i.e. 88490832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 453/78, 928/94, 421/242 is 88490832.

LCM(453/78, 928/94, 421/242) = 88490832

LCM of 453/78, 928/94, 421/242

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 453/78,928/94,421/242

Given numbers are 453/78,928/94,421/242

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 453,928,421

Least Common Multiple of Numerators i.e. LCM of 453,928,421 is 176981664.

GCF of Denominators means GCF of 78,94,242 as per the given fractions.

GCF of 78,94,242 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 453,928,421

LCM of Fractions 453/78,928/94,421/242 is 88490832

Given numbers has no common factors except 1. So, there LCM is their product i.e 176981664

Least Common Multiple of 453,928,421 with GCF Formula

Least Common Multiple of 453,928,421 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 453,928,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(453,928,421) = 1

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

GCF(453,928,421) x common factors =1 x 1 = 1

LCM(453,928,421) = ( 453 × 928 × 421 ) / 1

LCM(453,928,421) = 176981664 / 1

LCM(453,928,421) = 176981664


Lets's calculate GCF of 78,94,242

2 78, 94, 242
39, 47, 121

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 176981664/2

Therefore the LCM of Fractions 453/78,928/94,421/242 is 88490832

Greatest Common Factor of 78,94,242 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,94,242 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 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Greatest Common Factor

We found the factors 78,94,242 . The biggest common factor number is the GCF number.
So the greatest common factor 78,94,242 is 2.


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Frequently Asked Questions on Fractional LCM of 453/78, 928/94, 421/242

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 453/78, 928/94, 421/242?

Answer: LCM of Numerators as per given numbers 453/78, 928/94, 421/242 is

LCM of Numerators i.e. for 453,928,421 is 176981664

GCF of denominators i.e. for 78,94,242 is 2.

Thus, LCM of Fractions is 88490832.Finally, LCM of Fractions for 453/78, 928/94, 421/242 is 88490832.