Least Common Multiple of 368/60, 741/9141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 368/60, 741/9141 quickly i.e. 90896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 368/60, 741/9141 is 90896.

LCM(368/60, 741/9141) = 90896

LCM of 368/60, 741/9141

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 368/60,741/9141

Given numbers are 368/60,741/9141

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 368,741

Least Common Multiple of Numerators i.e. LCM of 368,741 is 272688.

GCF of Denominators means GCF of 60,9141 as per the given fractions.

GCF of 60,9141 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 368,741

LCM of Fractions 368/60,741/9141 is 90896

Given numbers has no common factors except 1. So, there LCM is their product i.e 272688

Least Common Multiple of 368,741 with GCF Formula

Least Common Multiple of 368,741 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 368,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(368,741) = 1

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

GCF(368,741) x common factors =1 x 1 = 1

LCM(368,741) = ( 368 × 741 ) / 1

LCM(368,741) = 272688 / 1

LCM(368,741) = 272688


Lets's calculate GCF of 60,9141

3 60, 9141
20, 3047

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 272688/3

Therefore the LCM of Fractions 368/60,741/9141 is 90896

Greatest Common Factor of 60,9141 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,9141 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 9141

List of positive integer factors of 9141 that divides 9141 without a remainder.

1,3,11,33,277,831,3047,9141

Greatest Common Factor

We found the factors 60,9141 . The biggest common factor number is the GCF number.
So the greatest common factor 60,9141 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 368/60, 741/9141

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 368/60, 741/9141?

Answer: LCM of Numerators as per given numbers 368/60, 741/9141 is

LCM of Numerators i.e. for 368,741 is 272688

GCF of denominators i.e. for 60,9141 is 3.

Thus, LCM of Fractions is 90896.Finally, LCM of Fractions for 368/60, 741/9141 is 90896.