Least Common Multiple of 907/96, 531/12, 328/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 907/96, 531/12, 328/219 quickly i.e. 52656792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 907/96, 531/12, 328/219 is 52656792.

LCM(907/96, 531/12, 328/219) = 52656792

LCM of 907/96, 531/12, 328/219

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 907/96,531/12,328/219

Given numbers are 907/96,531/12,328/219

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 907,531,328

Least Common Multiple of Numerators i.e. LCM of 907,531,328 is 157970376.

GCF of Denominators means GCF of 96,12,219 as per the given fractions.

GCF of 96,12,219 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 907,531,328

LCM of Fractions 907/96,531/12,328/219 is 52656792

Given numbers has no common factors except 1. So, there LCM is their product i.e 157970376

Least Common Multiple of 907,531,328 with GCF Formula

Least Common Multiple of 907,531,328 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 907,531,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(907,531,328) = 1

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

GCF(907,531,328) x common factors =1 x 1 = 1

LCM(907,531,328) = ( 907 × 531 × 328 ) / 1

LCM(907,531,328) = 157970376 / 1

LCM(907,531,328) = 157970376


Lets's calculate GCF of 96,12,219

3 96, 12, 219
32, 4, 73

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 157970376/3

Therefore the LCM of Fractions 907/96,531/12,328/219 is 52656792

Greatest Common Factor of 96,12,219 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,12,219 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Greatest Common Factor

We found the factors 96,12,219 . The biggest common factor number is the GCF number.
So the greatest common factor 96,12,219 is 3.


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 907/96, 531/12, 328/219

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 907/96, 531/12, 328/219?

Answer: LCM of Numerators as per given numbers 907/96, 531/12, 328/219 is

LCM of Numerators i.e. for 907,531,328 is 157970376

GCF of denominators i.e. for 96,12,219 is 3.

Thus, LCM of Fractions is 52656792.Finally, LCM of Fractions for 907/96, 531/12, 328/219 is 52656792.