Least Common Multiple of 288/22, 846/36, 965/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 288/22, 846/36, 965/424 quickly i.e. 6531120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 288/22, 846/36, 965/424 is 6531120.

LCM(288/22, 846/36, 965/424) = 6531120

LCM of 288/22, 846/36, 965/424

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 288/22,846/36,965/424

Given numbers are 288/22,846/36,965/424

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 288,846,965

Least Common Multiple of Numerators i.e. LCM of 288,846,965 is 13062240.

GCF of Denominators means GCF of 22,36,424 as per the given fractions.

GCF of 22,36,424 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 288,846,965

LCM of Fractions 288/22,846/36,965/424 is 6531120

2 288, 846, 965
3 144, 423, 965
3 48, 141, 965
16, 47, 965

∴ So the LCM of the given numbers is 2 x 3 x 3 x 16 x 47 x 965 = 13062240

Least Common Multiple of 288,846,965 with GCF Formula

Least Common Multiple of 288,846,965 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 288,846,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,846,965) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(288,846,965) x common factors =1 x 18 = 18

LCM(288,846,965) = ( 288 × 846 × 965 ) / 18

LCM(288,846,965) = 235120320 / 18

LCM(288,846,965) = 13062240


Lets's calculate GCF of 22,36,424

2 22, 36, 424
11, 18, 212

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13062240/2

Therefore the LCM of Fractions 288/22,846/36,965/424 is 6531120

Greatest Common Factor of 22,36,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,36,424 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 22,36,424 . The biggest common factor number is the GCF number.
So the greatest common factor 22,36,424 is 2.


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 288/22, 846/36, 965/424

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 288/22, 846/36, 965/424?

Answer: LCM of Numerators as per given numbers 288/22, 846/36, 965/424 is

LCM of Numerators i.e. for 288,846,965 is 13062240

GCF of denominators i.e. for 22,36,424 is 2.

Thus, LCM of Fractions is 6531120.Finally, LCM of Fractions for 288/22, 846/36, 965/424 is 6531120.