Least Common Multiple of 560/163, 528/195, 933/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 560/163, 528/195, 933/968 quickly i.e. 5747280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 560/163, 528/195, 933/968 is 5747280.

LCM(560/163, 528/195, 933/968) = 5747280

LCM of 560/163, 528/195, 933/968

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 560/163,528/195,933/968

Given numbers are 560/163,528/195,933/968

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 560,528,933

Least Common Multiple of Numerators i.e. LCM of 560,528,933 is 5747280.

GCF of Denominators means GCF of 163,195,968 as per the given fractions.

GCF of 163,195,968 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 560,528,933

LCM of Fractions 560/163,528/195,933/968 is 5747280

2 560, 528, 933
2 280, 264, 933
2 140, 132, 933
2 70, 66, 933
3 35, 33, 933
35, 11, 311

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 35 x 11 x 311 = 5747280

Least Common Multiple of 560,528,933 with GCF Formula

Least Common Multiple of 560,528,933 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 560,528,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,528,933) = 1

common factors(in case of two or more numbers have common factors) = 48

GCF(560,528,933) x common factors =1 x 48 = 48

LCM(560,528,933) = ( 560 × 528 × 933 ) / 48

LCM(560,528,933) = 275869440 / 48

LCM(560,528,933) = 5747280


Lets's calculate GCF of 163,195,968

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5747280/1

Therefore the LCM of Fractions 560/163,528/195,933/968 is 5747280

Greatest Common Factor of 163,195,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 163,195,968 By Matching Biggest Common Factor Method

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1,163

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

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

Greatest Common Factor

We found the factors 163,195,968 . The biggest common factor number is the GCF number.
So the greatest common factor 163,195,968 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 560/163, 528/195, 933/968

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 560/163, 528/195, 933/968?

Answer: LCM of Numerators as per given numbers 560/163, 528/195, 933/968 is

LCM of Numerators i.e. for 560,528,933 is 5747280

GCF of denominators i.e. for 163,195,968 is 1.

Thus, LCM of Fractions is 5747280.Finally, LCM of Fractions for 560/163, 528/195, 933/968 is 5747280.