Least Common Multiple of 789/76, 339/4220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 789/76, 339/4220 quickly i.e. 89157/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 789/76, 339/4220 is 89157/4.

LCM(789/76, 339/4220) = 89157/4

LCM of 789/76, 339/4220

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 789/76,339/4220

Given numbers are 789/76,339/4220

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 789,339

Least Common Multiple of Numerators i.e. LCM of 789,339 is 89157.

GCF of Denominators means GCF of 76,4220 as per the given fractions.

GCF of 76,4220 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 789,339

LCM of Fractions 789/76,339/4220 is 89157/4

3 789, 339
263, 113

∴ So the LCM of the given numbers is 3 x 263 x 113 = 89157

Least Common Multiple of 789,339 with GCF Formula

Least Common Multiple of 789,339 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 789,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,339) = 3

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

GCF(789,339) x common factors =3 x 1 = 3

LCM(789,339) = ( 789 × 339 ) / 3

LCM(789,339) = 267471 / 3

LCM(789,339) = 89157


Lets's calculate GCF of 76,4220

2 76, 4220
2 38, 2110
19, 1055

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89157/4

Therefore the LCM of Fractions 789/76,339/4220 is 89157/4

Greatest Common Factor of 76,4220 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,4220 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 4220

List of positive integer factors of 4220 that divides 4220 without a remainder.

1,2,4,5,10,20,211,422,844,1055,2110,4220

Greatest Common Factor

We found the factors 76,4220 . The biggest common factor number is the GCF number.
So the greatest common factor 76,4220 is 4.


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 789/76, 339/4220

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 789/76, 339/4220?

Answer: LCM of Numerators as per given numbers 789/76, 339/4220 is

LCM of Numerators i.e. for 789,339 is 89157

GCF of denominators i.e. for 76,4220 is 4.

Thus, LCM of Fractions is 89157/4.Finally, LCM of Fractions for 789/76, 339/4220 is 89157/4.