Least Common Multiple of 41/63, 12/85, 89/48, 20/425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/63, 12/85, 89/48, 20/425 quickly i.e. 218940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/63, 12/85, 89/48, 20/425 is 218940.

LCM(41/63, 12/85, 89/48, 20/425) = 218940

LCM of 41/63, 12/85, 89/48, 20/425

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 41/63,12/85,89/48,20/425

Given numbers are 41/63,12/85,89/48,20/425

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 41,12,89,20

Least Common Multiple of Numerators i.e. LCM of 41,12,89,20 is 218940.

GCF of Denominators means GCF of 63,85,48,425 as per the given fractions.

GCF of 63,85,48,425 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,12,89,20

LCM of Fractions 41/63,12/85,89/48,20/425 is 218940

2 41, 12, 89, 20
2 41, 6, 89, 10
41, 3, 89, 5

∴ So the LCM of the given numbers is 2 x 2 x 41 x 3 x 89 x 5 = 218940

Least Common Multiple of 41,12,89,20 with GCF Formula

Least Common Multiple of 41,12,89,20 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 41,12,89,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,12,89,20) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(41,12,89,20) x common factors =1 x 4 = 4

LCM(41,12,89,20) = ( 41 × 12 × 89 × 20 ) / 4

LCM(41,12,89,20) = 875760 / 4

LCM(41,12,89,20) = 218940


Lets's calculate GCF of 63,85,48,425

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 218940/1

Therefore the LCM of Fractions 41/63,12/85,89/48,20/425 is 218940

Greatest Common Factor of 63,85,48,425 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,85,48,425 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Greatest Common Factor

We found the factors 63,85,48,425 . The biggest common factor number is the GCF number.
So the greatest common factor 63,85,48,425 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 41/63, 12/85, 89/48, 20/425

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 41/63, 12/85, 89/48, 20/425?

Answer: LCM of Numerators as per given numbers 41/63, 12/85, 89/48, 20/425 is

LCM of Numerators i.e. for 41,12,89,20 is 218940

GCF of denominators i.e. for 63,85,48,425 is 1.

Thus, LCM of Fractions is 218940.Finally, LCM of Fractions for 41/63, 12/85, 89/48, 20/425 is 218940.