Least Common Multiple of 960/564, 4665/2868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 960/564, 4665/2868 quickly i.e. 24880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 960/564, 4665/2868 is 24880.

LCM(960/564, 4665/2868) = 24880

LCM of 960/564, 4665/2868

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 960/564,4665/2868

Given numbers are 960/564,4665/2868

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 960,4665

Least Common Multiple of Numerators i.e. LCM of 960,4665 is 298560.

GCF of Denominators means GCF of 564,2868 as per the given fractions.

GCF of 564,2868 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 960,4665

LCM of Fractions 960/564,4665/2868 is 24880

3 960, 4665
5 320, 1555
64, 311

∴ So the LCM of the given numbers is 3 x 5 x 64 x 311 = 298560

Least Common Multiple of 960,4665 with GCF Formula

Least Common Multiple of 960,4665 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 960,4665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,4665) = 15

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

GCF(960,4665) x common factors =15 x 1 = 15

LCM(960,4665) = ( 960 × 4665 ) / 15

LCM(960,4665) = 4478400 / 15

LCM(960,4665) = 298560


Lets's calculate GCF of 564,2868

2 564, 2868
2 282, 1434
3 141, 717
47, 239

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 298560/12

Therefore the LCM of Fractions 960/564,4665/2868 is 24880

Greatest Common Factor of 564,2868 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,2868 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 2868

List of positive integer factors of 2868 that divides 2868 without a remainder.

1,2,3,4,6,12,239,478,717,956,1434,2868

Greatest Common Factor

We found the factors 564,2868 . The biggest common factor number is the GCF number.
So the greatest common factor 564,2868 is 12.


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 960/564, 4665/2868

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 960/564, 4665/2868?

Answer: LCM of Numerators as per given numbers 960/564, 4665/2868 is

LCM of Numerators i.e. for 960,4665 is 298560

GCF of denominators i.e. for 564,2868 is 12.

Thus, LCM of Fractions is 24880.Finally, LCM of Fractions for 960/564, 4665/2868 is 24880.