Least Common Multiple of 79/50, 523/13, 712/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 79/50, 523/13, 712/449 quickly i.e. 29417704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/50, 523/13, 712/449 is 29417704.

LCM(79/50, 523/13, 712/449) = 29417704

LCM of 79/50, 523/13, 712/449

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 79/50,523/13,712/449

Given numbers are 79/50,523/13,712/449

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 79,523,712

Least Common Multiple of Numerators i.e. LCM of 79,523,712 is 29417704.

GCF of Denominators means GCF of 50,13,449 as per the given fractions.

GCF of 50,13,449 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,523,712

LCM of Fractions 79/50,523/13,712/449 is 29417704

Given numbers has no common factors except 1. So, there LCM is their product i.e 29417704

Least Common Multiple of 79,523,712 with GCF Formula

Least Common Multiple of 79,523,712 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 79,523,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,523,712) = 1

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

GCF(79,523,712) x common factors =1 x 1 = 1

LCM(79,523,712) = ( 79 × 523 × 712 ) / 1

LCM(79,523,712) = 29417704 / 1

LCM(79,523,712) = 29417704


Lets's calculate GCF of 50,13,449

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29417704/1

Therefore the LCM of Fractions 79/50,523/13,712/449 is 29417704

Greatest Common Factor of 50,13,449 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,13,449 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Greatest Common Factor

We found the factors 50,13,449 . The biggest common factor number is the GCF number.
So the greatest common factor 50,13,449 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 79/50, 523/13, 712/449

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 79/50, 523/13, 712/449?

Answer: LCM of Numerators as per given numbers 79/50, 523/13, 712/449 is

LCM of Numerators i.e. for 79,523,712 is 29417704

GCF of denominators i.e. for 50,13,449 is 1.

Thus, LCM of Fractions is 29417704.Finally, LCM of Fractions for 79/50, 523/13, 712/449 is 29417704.