Least Common Multiple of 79/97, 45/96, 74/40, 59/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 79/97, 45/96, 74/40, 59/638 quickly i.e. 15521130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/97, 45/96, 74/40, 59/638 is 15521130.

LCM(79/97, 45/96, 74/40, 59/638) = 15521130

LCM of 79/97, 45/96, 74/40, 59/638

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 79/97,45/96,74/40,59/638

Given numbers are 79/97,45/96,74/40,59/638

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 79,45,74,59

Least Common Multiple of Numerators i.e. LCM of 79,45,74,59 is 15521130.

GCF of Denominators means GCF of 97,96,40,638 as per the given fractions.

GCF of 97,96,40,638 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,45,74,59

LCM of Fractions 79/97,45/96,74/40,59/638 is 15521130

Given numbers has no common factors except 1. So, there LCM is their product i.e 15521130

Least Common Multiple of 79,45,74,59 with GCF Formula

Least Common Multiple of 79,45,74,59 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 79,45,74,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,45,74,59) = 1

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

GCF(79,45,74,59) x common factors =1 x 1 = 1

LCM(79,45,74,59) = ( 79 × 45 × 74 × 59 ) / 1

LCM(79,45,74,59) = 15521130 / 1

LCM(79,45,74,59) = 15521130


Lets's calculate GCF of 97,96,40,638

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15521130/1

Therefore the LCM of Fractions 79/97,45/96,74/40,59/638 is 15521130

Greatest Common Factor of 97,96,40,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,96,40,638 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 97,96,40,638 . The biggest common factor number is the GCF number.
So the greatest common factor 97,96,40,638 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 79/97, 45/96, 74/40, 59/638

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 79/97, 45/96, 74/40, 59/638?

Answer: LCM of Numerators as per given numbers 79/97, 45/96, 74/40, 59/638 is

LCM of Numerators i.e. for 79,45,74,59 is 15521130

GCF of denominators i.e. for 97,96,40,638 is 1.

Thus, LCM of Fractions is 15521130.Finally, LCM of Fractions for 79/97, 45/96, 74/40, 59/638 is 15521130.