Least Common Multiple of 79/33, 60/544, 795/659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 79/33, 60/544, 795/659 quickly i.e. 251220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/33, 60/544, 795/659 is 251220.

LCM(79/33, 60/544, 795/659) = 251220

LCM of 79/33, 60/544, 795/659

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 79/33,60/544,795/659

Given numbers are 79/33,60/544,795/659

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 79,60,795

Least Common Multiple of Numerators i.e. LCM of 79,60,795 is 251220.

GCF of Denominators means GCF of 33,544,659 as per the given fractions.

GCF of 33,544,659 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,60,795

LCM of Fractions 79/33,60/544,795/659 is 251220

3 79, 60, 795
5 79, 20, 265
79, 4, 53

∴ So the LCM of the given numbers is 3 x 5 x 79 x 4 x 53 = 251220

Least Common Multiple of 79,60,795 with GCF Formula

Least Common Multiple of 79,60,795 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 79,60,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,60,795) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(79,60,795) x common factors =1 x 15 = 15

LCM(79,60,795) = ( 79 × 60 × 795 ) / 15

LCM(79,60,795) = 3768300 / 15

LCM(79,60,795) = 251220


Lets's calculate GCF of 33,544,659

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 251220/1

Therefore the LCM of Fractions 79/33,60/544,795/659 is 251220

Greatest Common Factor of 33,544,659 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,544,659 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Greatest Common Factor

We found the factors 33,544,659 . The biggest common factor number is the GCF number.
So the greatest common factor 33,544,659 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 79/33, 60/544, 795/659

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 79/33, 60/544, 795/659?

Answer: LCM of Numerators as per given numbers 79/33, 60/544, 795/659 is

LCM of Numerators i.e. for 79,60,795 is 251220

GCF of denominators i.e. for 33,544,659 is 1.

Thus, LCM of Fractions is 251220.Finally, LCM of Fractions for 79/33, 60/544, 795/659 is 251220.