Least Common Multiple of 219/61, 642/78, 749/939

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 219/61, 642/78, 749/939 quickly i.e. 328062 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 219/61, 642/78, 749/939 is 328062.

LCM(219/61, 642/78, 749/939) = 328062

LCM of 219/61, 642/78, 749/939

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 219/61,642/78,749/939

Given numbers are 219/61,642/78,749/939

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 219,642,749

Least Common Multiple of Numerators i.e. LCM of 219,642,749 is 328062.

GCF of Denominators means GCF of 61,78,939 as per the given fractions.

GCF of 61,78,939 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 219,642,749

LCM of Fractions 219/61,642/78,749/939 is 328062

3 219, 642, 749
107 73, 214, 749
73, 2, 7

∴ So the LCM of the given numbers is 3 x 107 x 73 x 2 x 7 = 328062

Least Common Multiple of 219,642,749 with GCF Formula

Least Common Multiple of 219,642,749 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 219,642,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,642,749) = 1

common factors(in case of two or more numbers have common factors) = 321

GCF(219,642,749) x common factors =1 x 321 = 321

LCM(219,642,749) = ( 219 × 642 × 749 ) / 321

LCM(219,642,749) = 105307902 / 321

LCM(219,642,749) = 328062


Lets's calculate GCF of 61,78,939

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 328062/1

Therefore the LCM of Fractions 219/61,642/78,749/939 is 328062

Greatest Common Factor of 61,78,939 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,78,939 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

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 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

Greatest Common Factor

We found the factors 61,78,939 . The biggest common factor number is the GCF number.
So the greatest common factor 61,78,939 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 219/61, 642/78, 749/939

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 219/61, 642/78, 749/939?

Answer: LCM of Numerators as per given numbers 219/61, 642/78, 749/939 is

LCM of Numerators i.e. for 219,642,749 is 328062

GCF of denominators i.e. for 61,78,939 is 1.

Thus, LCM of Fractions is 328062.Finally, LCM of Fractions for 219/61, 642/78, 749/939 is 328062.