Least Common Multiple of 799/52, 800/94, 454/12

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 799/52, 800/94, 454/12 quickly i.e. 72549200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 799/52, 800/94, 454/12 is 72549200.

LCM(799/52, 800/94, 454/12) = 72549200

LCM of 799/52, 800/94, 454/12

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 799/52,800/94,454/12

Given numbers are 799/52,800/94,454/12

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 799,800,454

Least Common Multiple of Numerators i.e. LCM of 799,800,454 is 145098400.

GCF of Denominators means GCF of 52,94,12 as per the given fractions.

GCF of 52,94,12 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 799,800,454

LCM of Fractions 799/52,800/94,454/12 is 72549200

2 799, 800, 454
799, 400, 227

∴ So the LCM of the given numbers is 2 x 799 x 400 x 227 = 145098400

Least Common Multiple of 799,800,454 with GCF Formula

Least Common Multiple of 799,800,454 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 799,800,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(799,800,454) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(799,800,454) x common factors =1 x 2 = 2

LCM(799,800,454) = ( 799 × 800 × 454 ) / 2

LCM(799,800,454) = 290196800 / 2

LCM(799,800,454) = 145098400


Lets's calculate GCF of 52,94,12

2 52, 94, 12
26, 47, 6

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145098400/2

Therefore the LCM of Fractions 799/52,800/94,454/12 is 72549200

Greatest Common Factor of 52,94,12 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,94,12 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 94

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

1,2,47,94

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Greatest Common Factor

We found the factors 52,94,12 . The biggest common factor number is the GCF number.
So the greatest common factor 52,94,12 is 2.


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Frequently Asked Questions on Fractional LCM of 799/52, 800/94, 454/12

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 799/52, 800/94, 454/12?

Answer: LCM of Numerators as per given numbers 799/52, 800/94, 454/12 is

LCM of Numerators i.e. for 799,800,454 is 145098400

GCF of denominators i.e. for 52,94,12 is 2.

Thus, LCM of Fractions is 72549200.Finally, LCM of Fractions for 799/52, 800/94, 454/12 is 72549200.