Least Common Multiple of 60/741, 3641/2054

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/741, 3641/2054 quickly i.e. 218460/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/741, 3641/2054 is 218460/13.

LCM(60/741, 3641/2054) = 218460/13

LCM of 60/741, 3641/2054

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 60/741,3641/2054

Given numbers are 60/741,3641/2054

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 60,3641

Least Common Multiple of Numerators i.e. LCM of 60,3641 is 218460.

GCF of Denominators means GCF of 741,2054 as per the given fractions.

GCF of 741,2054 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,3641

LCM of Fractions 60/741,3641/2054 is 218460/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 218460

Least Common Multiple of 60,3641 with GCF Formula

Least Common Multiple of 60,3641 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 60,3641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,3641) = 1

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

GCF(60,3641) x common factors =1 x 1 = 1

LCM(60,3641) = ( 60 × 3641 ) / 1

LCM(60,3641) = 218460 / 1

LCM(60,3641) = 218460


Lets's calculate GCF of 741,2054

13 741, 2054
57, 158

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 218460/13

Therefore the LCM of Fractions 60/741,3641/2054 is 218460/13

Greatest Common Factor of 741,2054 By Matching Biggest Common Factor Method

Greatest Common Factor of 741,2054 By Matching Biggest Common Factor Method

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 2054

List of positive integer factors of 2054 that divides 2054 without a remainder.

1,2,13,26,79,158,1027,2054

Greatest Common Factor

We found the factors 741,2054 . The biggest common factor number is the GCF number.
So the greatest common factor 741,2054 is 13.


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 60/741, 3641/2054

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 60/741, 3641/2054?

Answer: LCM of Numerators as per given numbers 60/741, 3641/2054 is

LCM of Numerators i.e. for 60,3641 is 218460

GCF of denominators i.e. for 741,2054 is 13.

Thus, LCM of Fractions is 218460/13.Finally, LCM of Fractions for 60/741, 3641/2054 is 218460/13.