Least Common Multiple of 107/39, 357/8021

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 107/39, 357/8021 quickly i.e. 38199/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 107/39, 357/8021 is 38199/13.

LCM(107/39, 357/8021) = 38199/13

LCM of 107/39, 357/8021

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 107/39,357/8021

Given numbers are 107/39,357/8021

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 107,357

Least Common Multiple of Numerators i.e. LCM of 107,357 is 38199.

GCF of Denominators means GCF of 39,8021 as per the given fractions.

GCF of 39,8021 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 107,357

LCM of Fractions 107/39,357/8021 is 38199/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 38199

Least Common Multiple of 107,357 with GCF Formula

Least Common Multiple of 107,357 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 107,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(107,357) = 1

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

GCF(107,357) x common factors =1 x 1 = 1

LCM(107,357) = ( 107 × 357 ) / 1

LCM(107,357) = 38199 / 1

LCM(107,357) = 38199


Lets's calculate GCF of 39,8021

13 39, 8021
3, 617

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38199/13

Therefore the LCM of Fractions 107/39,357/8021 is 38199/13

Greatest Common Factor of 39,8021 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,8021 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 8021

List of positive integer factors of 8021 that divides 8021 without a remainder.

1,13,617,8021

Greatest Common Factor

We found the factors 39,8021 . The biggest common factor number is the GCF number.
So the greatest common factor 39,8021 is 13.


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 107/39, 357/8021

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 107/39, 357/8021?

Answer: LCM of Numerators as per given numbers 107/39, 357/8021 is

LCM of Numerators i.e. for 107,357 is 38199

GCF of denominators i.e. for 39,8021 is 13.

Thus, LCM of Fractions is 38199/13.Finally, LCM of Fractions for 107/39, 357/8021 is 38199/13.