Least Common Multiple of 96/63, 213/28, 313/587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/63, 213/28, 313/587 quickly i.e. 2133408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/63, 213/28, 313/587 is 2133408.

LCM(96/63, 213/28, 313/587) = 2133408

LCM of 96/63, 213/28, 313/587

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 96/63,213/28,313/587

Given numbers are 96/63,213/28,313/587

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 96,213,313

Least Common Multiple of Numerators i.e. LCM of 96,213,313 is 2133408.

GCF of Denominators means GCF of 63,28,587 as per the given fractions.

GCF of 63,28,587 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,213,313

LCM of Fractions 96/63,213/28,313/587 is 2133408

3 96, 213, 313
32, 71, 313

∴ So the LCM of the given numbers is 3 x 32 x 71 x 313 = 2133408

Least Common Multiple of 96,213,313 with GCF Formula

Least Common Multiple of 96,213,313 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 96,213,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,213,313) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(96,213,313) x common factors =1 x 3 = 3

LCM(96,213,313) = ( 96 × 213 × 313 ) / 3

LCM(96,213,313) = 6400224 / 3

LCM(96,213,313) = 2133408


Lets's calculate GCF of 63,28,587

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2133408/1

Therefore the LCM of Fractions 96/63,213/28,313/587 is 2133408

Greatest Common Factor of 63,28,587 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,28,587 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 28

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

1,2,4,7,14,28

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Greatest Common Factor

We found the factors 63,28,587 . The biggest common factor number is the GCF number.
So the greatest common factor 63,28,587 is 1.


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 96/63, 213/28, 313/587

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 96/63, 213/28, 313/587?

Answer: LCM of Numerators as per given numbers 96/63, 213/28, 313/587 is

LCM of Numerators i.e. for 96,213,313 is 2133408

GCF of denominators i.e. for 63,28,587 is 1.

Thus, LCM of Fractions is 2133408.Finally, LCM of Fractions for 96/63, 213/28, 313/587 is 2133408.