Least Common Multiple of 660/64, 301/41, 113/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 660/64, 301/41, 113/240 quickly i.e. 22448580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 660/64, 301/41, 113/240 is 22448580.

LCM(660/64, 301/41, 113/240) = 22448580

LCM of 660/64, 301/41, 113/240

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 660/64,301/41,113/240

Given numbers are 660/64,301/41,113/240

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 660,301,113

Least Common Multiple of Numerators i.e. LCM of 660,301,113 is 22448580.

GCF of Denominators means GCF of 64,41,240 as per the given fractions.

GCF of 64,41,240 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 660,301,113

LCM of Fractions 660/64,301/41,113/240 is 22448580

Given numbers has no common factors except 1. So, there LCM is their product i.e 22448580

Least Common Multiple of 660,301,113 with GCF Formula

Least Common Multiple of 660,301,113 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 660,301,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,301,113) = 1

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

GCF(660,301,113) x common factors =1 x 1 = 1

LCM(660,301,113) = ( 660 × 301 × 113 ) / 1

LCM(660,301,113) = 22448580 / 1

LCM(660,301,113) = 22448580


Lets's calculate GCF of 64,41,240

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22448580/1

Therefore the LCM of Fractions 660/64,301/41,113/240 is 22448580

Greatest Common Factor of 64,41,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,41,240 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 64,41,240 . The biggest common factor number is the GCF number.
So the greatest common factor 64,41,240 is 1.


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 660/64, 301/41, 113/240

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 660/64, 301/41, 113/240?

Answer: LCM of Numerators as per given numbers 660/64, 301/41, 113/240 is

LCM of Numerators i.e. for 660,301,113 is 22448580

GCF of denominators i.e. for 64,41,240 is 1.

Thus, LCM of Fractions is 22448580.Finally, LCM of Fractions for 660/64, 301/41, 113/240 is 22448580.