Least Common Multiple of 96/119, 7684/2375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/119, 7684/2375 quickly i.e. 184416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/119, 7684/2375 is 184416.

LCM(96/119, 7684/2375) = 184416

LCM of 96/119, 7684/2375

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 96/119,7684/2375

Given numbers are 96/119,7684/2375

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 96,7684

Least Common Multiple of Numerators i.e. LCM of 96,7684 is 184416.

GCF of Denominators means GCF of 119,2375 as per the given fractions.

GCF of 119,2375 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,7684

LCM of Fractions 96/119,7684/2375 is 184416

2 96, 7684
2 48, 3842
24, 1921

∴ So the LCM of the given numbers is 2 x 2 x 24 x 1921 = 184416

Least Common Multiple of 96,7684 with GCF Formula

Least Common Multiple of 96,7684 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 96,7684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,7684) = 4

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

GCF(96,7684) x common factors =4 x 1 = 4

LCM(96,7684) = ( 96 × 7684 ) / 4

LCM(96,7684) = 737664 / 4

LCM(96,7684) = 184416


Lets's calculate GCF of 119,2375

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 184416/1

Therefore the LCM of Fractions 96/119,7684/2375 is 184416

Greatest Common Factor of 119,2375 By Matching Biggest Common Factor Method

Greatest Common Factor of 119,2375 By Matching Biggest Common Factor Method

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Factors of 2375

List of positive integer factors of 2375 that divides 2375 without a remainder.

1,5,19,25,95,125,475,2375

Greatest Common Factor

We found the factors 119,2375 . The biggest common factor number is the GCF number.
So the greatest common factor 119,2375 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 96/119, 7684/2375

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 96/119, 7684/2375?

Answer: LCM of Numerators as per given numbers 96/119, 7684/2375 is

LCM of Numerators i.e. for 96,7684 is 184416

GCF of denominators i.e. for 119,2375 is 1.

Thus, LCM of Fractions is 184416.Finally, LCM of Fractions for 96/119, 7684/2375 is 184416.