Least Common Multiple of 213/968, 8001/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 213/968, 8001/640 quickly i.e. 568071/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 213/968, 8001/640 is 568071/8.

LCM(213/968, 8001/640) = 568071/8

LCM of 213/968, 8001/640

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 213/968,8001/640

Given numbers are 213/968,8001/640

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 213,8001

Least Common Multiple of Numerators i.e. LCM of 213,8001 is 568071.

GCF of Denominators means GCF of 968,640 as per the given fractions.

GCF of 968,640 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 213,8001

LCM of Fractions 213/968,8001/640 is 568071/8

3 213, 8001
71, 2667

∴ So the LCM of the given numbers is 3 x 71 x 2667 = 568071

Least Common Multiple of 213,8001 with GCF Formula

Least Common Multiple of 213,8001 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 213,8001 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,8001) = 3

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

GCF(213,8001) x common factors =3 x 1 = 3

LCM(213,8001) = ( 213 × 8001 ) / 3

LCM(213,8001) = 1704213 / 3

LCM(213,8001) = 568071


Lets's calculate GCF of 968,640

2 968, 640
2 484, 320
2 242, 160
121, 80

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 568071/8

Therefore the LCM of Fractions 213/968,8001/640 is 568071/8

Greatest Common Factor of 968,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,640 By Matching Biggest Common Factor Method

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Greatest Common Factor

We found the factors 968,640 . The biggest common factor number is the GCF number.
So the greatest common factor 968,640 is 8.


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 213/968, 8001/640

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 213/968, 8001/640?

Answer: LCM of Numerators as per given numbers 213/968, 8001/640 is

LCM of Numerators i.e. for 213,8001 is 568071

GCF of denominators i.e. for 968,640 is 8.

Thus, LCM of Fractions is 568071/8.Finally, LCM of Fractions for 213/968, 8001/640 is 568071/8.