Least Common Multiple of 96/412, 24/665, 918/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/412, 24/665, 918/275 quickly i.e. 14688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/412, 24/665, 918/275 is 14688.

LCM(96/412, 24/665, 918/275) = 14688

LCM of 96/412, 24/665, 918/275

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 96/412,24/665,918/275

Given numbers are 96/412,24/665,918/275

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 96,24,918

Least Common Multiple of Numerators i.e. LCM of 96,24,918 is 14688.

GCF of Denominators means GCF of 412,665,275 as per the given fractions.

GCF of 412,665,275 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,24,918

LCM of Fractions 96/412,24/665,918/275 is 14688

2 96, 24, 918
2 48, 12, 459
2 24, 6, 459
3 12, 3, 459
4, 1, 153

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 4 x 1 x 153 = 14688

Least Common Multiple of 96,24,918 with GCF Formula

Least Common Multiple of 96,24,918 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 96,24,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,24,918) = 6

common factors(in case of two or more numbers have common factors) = 24

GCF(96,24,918) x common factors =6 x 24 = 144

LCM(96,24,918) = ( 96 × 24 × 918 ) / 144

LCM(96,24,918) = 2115072 / 144

LCM(96,24,918) = 14688


Lets's calculate GCF of 412,665,275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14688/1

Therefore the LCM of Fractions 96/412,24/665,918/275 is 14688

Greatest Common Factor of 412,665,275 By Matching Biggest Common Factor Method

Greatest Common Factor of 412,665,275 By Matching Biggest Common Factor Method

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Greatest Common Factor

We found the factors 412,665,275 . The biggest common factor number is the GCF number.
So the greatest common factor 412,665,275 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 96/412, 24/665, 918/275

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 96/412, 24/665, 918/275?

Answer: LCM of Numerators as per given numbers 96/412, 24/665, 918/275 is

LCM of Numerators i.e. for 96,24,918 is 14688

GCF of denominators i.e. for 412,665,275 is 1.

Thus, LCM of Fractions is 14688.Finally, LCM of Fractions for 96/412, 24/665, 918/275 is 14688.