Least Common Multiple of 367/813, 1971/8838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 367/813, 1971/8838 quickly i.e. 241119 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 367/813, 1971/8838 is 241119.

LCM(367/813, 1971/8838) = 241119

LCM of 367/813, 1971/8838

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 367/813,1971/8838

Given numbers are 367/813,1971/8838

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 367,1971

Least Common Multiple of Numerators i.e. LCM of 367,1971 is 723357.

GCF of Denominators means GCF of 813,8838 as per the given fractions.

GCF of 813,8838 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 367,1971

LCM of Fractions 367/813,1971/8838 is 241119

Given numbers has no common factors except 1. So, there LCM is their product i.e 723357

Least Common Multiple of 367,1971 with GCF Formula

Least Common Multiple of 367,1971 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 367,1971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(367,1971) = 1

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

GCF(367,1971) x common factors =1 x 1 = 1

LCM(367,1971) = ( 367 × 1971 ) / 1

LCM(367,1971) = 723357 / 1

LCM(367,1971) = 723357


Lets's calculate GCF of 813,8838

3 813, 8838
271, 2946

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 723357/3

Therefore the LCM of Fractions 367/813,1971/8838 is 241119

Greatest Common Factor of 813,8838 By Matching Biggest Common Factor Method

Greatest Common Factor of 813,8838 By Matching Biggest Common Factor Method

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Factors of 8838

List of positive integer factors of 8838 that divides 8838 without a remainder.

1,2,3,6,9,18,491,982,1473,2946,4419,8838

Greatest Common Factor

We found the factors 813,8838 . The biggest common factor number is the GCF number.
So the greatest common factor 813,8838 is 3.


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 367/813, 1971/8838

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 367/813, 1971/8838?

Answer: LCM of Numerators as per given numbers 367/813, 1971/8838 is

LCM of Numerators i.e. for 367,1971 is 723357

GCF of denominators i.e. for 813,8838 is 3.

Thus, LCM of Fractions is 241119.Finally, LCM of Fractions for 367/813, 1971/8838 is 241119.