Least Common Multiple of 314/96, 119/9432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 314/96, 119/9432 quickly i.e. 37366/24 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 314/96, 119/9432 is 37366/24.

LCM(314/96, 119/9432) = 37366/24

LCM of 314/96, 119/9432

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 314/96,119/9432

Given numbers are 314/96,119/9432

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 314,119

Least Common Multiple of Numerators i.e. LCM of 314,119 is 37366.

GCF of Denominators means GCF of 96,9432 as per the given fractions.

GCF of 96,9432 is 24 as it is the largest common factor for these numbers.

Lets's calculate LCM of 314,119

LCM of Fractions 314/96,119/9432 is 37366/24

Given numbers has no common factors except 1. So, there LCM is their product i.e 37366

Least Common Multiple of 314,119 with GCF Formula

Least Common Multiple of 314,119 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 314,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,119) = 1

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

GCF(314,119) x common factors =1 x 1 = 1

LCM(314,119) = ( 314 × 119 ) / 1

LCM(314,119) = 37366 / 1

LCM(314,119) = 37366


Lets's calculate GCF of 96,9432

2 96, 9432
2 48, 4716
2 24, 2358
3 12, 1179
4, 393

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37366/24

Therefore the LCM of Fractions 314/96,119/9432 is 37366/24

Greatest Common Factor of 96,9432 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,9432 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 9432

List of positive integer factors of 9432 that divides 9432 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,131,262,393,524,786,1048,1179,1572,2358,3144,4716,9432

Greatest Common Factor

We found the factors 96,9432 . The biggest common factor number is the GCF number.
So the greatest common factor 96,9432 is 24.


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 314/96, 119/9432

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 314/96, 119/9432?

Answer: LCM of Numerators as per given numbers 314/96, 119/9432 is

LCM of Numerators i.e. for 314,119 is 37366

GCF of denominators i.e. for 96,9432 is 24.

Thus, LCM of Fractions is 37366/24.Finally, LCM of Fractions for 314/96, 119/9432 is 37366/24.