Least Common Multiple of 916/364, 239/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 916/364, 239/364 quickly i.e. 218924/364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 916/364, 239/364 is 218924/364.

LCM(916/364, 239/364) = 218924/364

LCM of 916/364, 239/364

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 916/364,239/364

Given numbers are 916/364,239/364

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 916,239

Least Common Multiple of Numerators i.e. LCM of 916,239 is 218924.

GCF of Denominators means GCF of 364,364 as per the given fractions.

GCF of 364,364 is 364 as it is the largest common factor for these numbers.

Lets's calculate LCM of 916,239

LCM of Fractions 916/364,239/364 is 218924/364

Given numbers has no common factors except 1. So, there LCM is their product i.e 218924

Least Common Multiple of 916,239 with GCF Formula

Least Common Multiple of 916,239 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 916,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,239) = 1

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

GCF(916,239) x common factors =1 x 1 = 1

LCM(916,239) = ( 916 × 239 ) / 1

LCM(916,239) = 218924 / 1

LCM(916,239) = 218924


Lets's calculate GCF of 364,364

2 364, 364
2 182, 182
7 91, 91
13 13, 13
1, 1

∴ So the GCF of the given numbers is 2 x 2 x 7 x 13 = 364

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 218924/364

Therefore the LCM of Fractions 916/364,239/364 is 218924/364

Greatest Common Factor of 364,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,364 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 364,364 . The biggest common factor number is the GCF number.
So the greatest common factor 364,364 is 364.


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 916/364, 239/364

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 916/364, 239/364?

Answer: LCM of Numerators as per given numbers 916/364, 239/364 is

LCM of Numerators i.e. for 916,239 is 218924

GCF of denominators i.e. for 364,364 is 364.

Thus, LCM of Fractions is 218924/364.Finally, LCM of Fractions for 916/364, 239/364 is 218924/364.