Least Common Multiple of 20/941, 9052/1296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 20/941, 9052/1296 quickly i.e. 45260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/941, 9052/1296 is 45260.

LCM(20/941, 9052/1296) = 45260

LCM of 20/941, 9052/1296

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 20/941,9052/1296

Given numbers are 20/941,9052/1296

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 20,9052

Least Common Multiple of Numerators i.e. LCM of 20,9052 is 45260.

GCF of Denominators means GCF of 941,1296 as per the given fractions.

GCF of 941,1296 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,9052

LCM of Fractions 20/941,9052/1296 is 45260

2 20, 9052
2 10, 4526
5, 2263

∴ So the LCM of the given numbers is 2 x 2 x 5 x 2263 = 45260

Least Common Multiple of 20,9052 with GCF Formula

Least Common Multiple of 20,9052 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 20,9052 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,9052) = 4

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

GCF(20,9052) x common factors =4 x 1 = 4

LCM(20,9052) = ( 20 × 9052 ) / 4

LCM(20,9052) = 181040 / 4

LCM(20,9052) = 45260


Lets's calculate GCF of 941,1296

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45260/1

Therefore the LCM of Fractions 20/941,9052/1296 is 45260

Greatest Common Factor of 941,1296 By Matching Biggest Common Factor Method

Greatest Common Factor of 941,1296 By Matching Biggest Common Factor Method

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Factors of 1296

List of positive integer factors of 1296 that divides 1296 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,81,108,144,162,216,324,432,648,1296

Greatest Common Factor

We found the factors 941,1296 . The biggest common factor number is the GCF number.
So the greatest common factor 941,1296 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 20/941, 9052/1296

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 20/941, 9052/1296?

Answer: LCM of Numerators as per given numbers 20/941, 9052/1296 is

LCM of Numerators i.e. for 20,9052 is 45260

GCF of denominators i.e. for 941,1296 is 1.

Thus, LCM of Fractions is 45260.Finally, LCM of Fractions for 20/941, 9052/1296 is 45260.