Least Common Multiple of 41/75, 576/21, 440/217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/75, 576/21, 440/217 quickly i.e. 1298880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/75, 576/21, 440/217 is 1298880.

LCM(41/75, 576/21, 440/217) = 1298880

LCM of 41/75, 576/21, 440/217

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 41/75,576/21,440/217

Given numbers are 41/75,576/21,440/217

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 41,576,440

Least Common Multiple of Numerators i.e. LCM of 41,576,440 is 1298880.

GCF of Denominators means GCF of 75,21,217 as per the given fractions.

GCF of 75,21,217 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,576,440

LCM of Fractions 41/75,576/21,440/217 is 1298880

2 41, 576, 440
2 41, 288, 220
2 41, 144, 110
41, 72, 55

∴ So the LCM of the given numbers is 2 x 2 x 2 x 41 x 72 x 55 = 1298880

Least Common Multiple of 41,576,440 with GCF Formula

Least Common Multiple of 41,576,440 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 41,576,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,576,440) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(41,576,440) x common factors =1 x 8 = 8

LCM(41,576,440) = ( 41 × 576 × 440 ) / 8

LCM(41,576,440) = 10391040 / 8

LCM(41,576,440) = 1298880


Lets's calculate GCF of 75,21,217

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1298880/1

Therefore the LCM of Fractions 41/75,576/21,440/217 is 1298880

Greatest Common Factor of 75,21,217 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,21,217 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Greatest Common Factor

We found the factors 75,21,217 . The biggest common factor number is the GCF number.
So the greatest common factor 75,21,217 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 41/75, 576/21, 440/217

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 41/75, 576/21, 440/217?

Answer: LCM of Numerators as per given numbers 41/75, 576/21, 440/217 is

LCM of Numerators i.e. for 41,576,440 is 1298880

GCF of denominators i.e. for 75,21,217 is 1.

Thus, LCM of Fractions is 1298880.Finally, LCM of Fractions for 41/75, 576/21, 440/217 is 1298880.