Least Common Multiple of 546/96, 167/3723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 546/96, 167/3723 quickly i.e. 30394 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 546/96, 167/3723 is 30394.

LCM(546/96, 167/3723) = 30394

LCM of 546/96, 167/3723

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 546/96,167/3723

Given numbers are 546/96,167/3723

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 546,167

Least Common Multiple of Numerators i.e. LCM of 546,167 is 91182.

GCF of Denominators means GCF of 96,3723 as per the given fractions.

GCF of 96,3723 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 546,167

LCM of Fractions 546/96,167/3723 is 30394

Given numbers has no common factors except 1. So, there LCM is their product i.e 91182

Least Common Multiple of 546,167 with GCF Formula

Least Common Multiple of 546,167 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 546,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,167) = 1

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

GCF(546,167) x common factors =1 x 1 = 1

LCM(546,167) = ( 546 × 167 ) / 1

LCM(546,167) = 91182 / 1

LCM(546,167) = 91182


Lets's calculate GCF of 96,3723

3 96, 3723
32, 1241

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91182/3

Therefore the LCM of Fractions 546/96,167/3723 is 30394

Greatest Common Factor of 96,3723 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,3723 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 3723

List of positive integer factors of 3723 that divides 3723 without a remainder.

1,3,17,51,73,219,1241,3723

Greatest Common Factor

We found the factors 96,3723 . The biggest common factor number is the GCF number.
So the greatest common factor 96,3723 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 546/96, 167/3723

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 546/96, 167/3723?

Answer: LCM of Numerators as per given numbers 546/96, 167/3723 is

LCM of Numerators i.e. for 546,167 is 91182

GCF of denominators i.e. for 96,3723 is 3.

Thus, LCM of Fractions is 30394.Finally, LCM of Fractions for 546/96, 167/3723 is 30394.