Least Common Multiple of 215/28, 959/3968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 215/28, 959/3968 quickly i.e. 206185/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 215/28, 959/3968 is 206185/4.

LCM(215/28, 959/3968) = 206185/4

LCM of 215/28, 959/3968

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 215/28,959/3968

Given numbers are 215/28,959/3968

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 215,959

Least Common Multiple of Numerators i.e. LCM of 215,959 is 206185.

GCF of Denominators means GCF of 28,3968 as per the given fractions.

GCF of 28,3968 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 215,959

LCM of Fractions 215/28,959/3968 is 206185/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 206185

Least Common Multiple of 215,959 with GCF Formula

Least Common Multiple of 215,959 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 215,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(215,959) = 1

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

GCF(215,959) x common factors =1 x 1 = 1

LCM(215,959) = ( 215 × 959 ) / 1

LCM(215,959) = 206185 / 1

LCM(215,959) = 206185


Lets's calculate GCF of 28,3968

2 28, 3968
2 14, 1984
7, 992

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 206185/4

Therefore the LCM of Fractions 215/28,959/3968 is 206185/4

Greatest Common Factor of 28,3968 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,3968 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 3968

List of positive integer factors of 3968 that divides 3968 without a remainder.

1,2,4,8,16,31,32,62,64,124,128,248,496,992,1984,3968

Greatest Common Factor

We found the factors 28,3968 . The biggest common factor number is the GCF number.
So the greatest common factor 28,3968 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 215/28, 959/3968

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 215/28, 959/3968?

Answer: LCM of Numerators as per given numbers 215/28, 959/3968 is

LCM of Numerators i.e. for 215,959 is 206185

GCF of denominators i.e. for 28,3968 is 4.

Thus, LCM of Fractions is 206185/4.Finally, LCM of Fractions for 215/28, 959/3968 is 206185/4.