Least Common Multiple of 712/96, 6165/238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 712/96, 6165/238 quickly i.e. 2194740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 712/96, 6165/238 is 2194740.

LCM(712/96, 6165/238) = 2194740

LCM of 712/96, 6165/238

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 712/96,6165/238

Given numbers are 712/96,6165/238

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 712,6165

Least Common Multiple of Numerators i.e. LCM of 712,6165 is 4389480.

GCF of Denominators means GCF of 96,238 as per the given fractions.

GCF of 96,238 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 712,6165

LCM of Fractions 712/96,6165/238 is 2194740

Given numbers has no common factors except 1. So, there LCM is their product i.e 4389480

Least Common Multiple of 712,6165 with GCF Formula

Least Common Multiple of 712,6165 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 712,6165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,6165) = 1

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

GCF(712,6165) x common factors =1 x 1 = 1

LCM(712,6165) = ( 712 × 6165 ) / 1

LCM(712,6165) = 4389480 / 1

LCM(712,6165) = 4389480


Lets's calculate GCF of 96,238

2 96, 238
48, 119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4389480/2

Therefore the LCM of Fractions 712/96,6165/238 is 2194740

Greatest Common Factor of 96,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,238 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 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 96,238 . The biggest common factor number is the GCF number.
So the greatest common factor 96,238 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 712/96, 6165/238

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 712/96, 6165/238?

Answer: LCM of Numerators as per given numbers 712/96, 6165/238 is

LCM of Numerators i.e. for 712,6165 is 4389480

GCF of denominators i.e. for 96,238 is 2.

Thus, LCM of Fractions is 2194740.Finally, LCM of Fractions for 712/96, 6165/238 is 2194740.