Least Common Multiple of 20/774, 24/461, 332/181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/774, 24/461, 332/181 quickly i.e. 9960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/774, 24/461, 332/181 is 9960.

LCM(20/774, 24/461, 332/181) = 9960

LCM of 20/774, 24/461, 332/181

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 20/774,24/461,332/181

Given numbers are 20/774,24/461,332/181

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 20,24,332

Least Common Multiple of Numerators i.e. LCM of 20,24,332 is 9960.

GCF of Denominators means GCF of 774,461,181 as per the given fractions.

GCF of 774,461,181 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,24,332

LCM of Fractions 20/774,24/461,332/181 is 9960

2 20, 24, 332
2 10, 12, 166
5, 6, 83

∴ So the LCM of the given numbers is 2 x 2 x 5 x 6 x 83 = 9960

Least Common Multiple of 20,24,332 with GCF Formula

Least Common Multiple of 20,24,332 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 20,24,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,24,332) = 4

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

GCF(20,24,332) x common factors =4 x 4 = 16

LCM(20,24,332) = ( 20 × 24 × 332 ) / 16

LCM(20,24,332) = 159360 / 16

LCM(20,24,332) = 9960


Lets's calculate GCF of 774,461,181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9960/1

Therefore the LCM of Fractions 20/774,24/461,332/181 is 9960

Greatest Common Factor of 774,461,181 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,461,181 By Matching Biggest Common Factor Method

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

Greatest Common Factor

We found the factors 774,461,181 . The biggest common factor number is the GCF number.
So the greatest common factor 774,461,181 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 20/774, 24/461, 332/181

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 20/774, 24/461, 332/181?

Answer: LCM of Numerators as per given numbers 20/774, 24/461, 332/181 is

LCM of Numerators i.e. for 20,24,332 is 9960

GCF of denominators i.e. for 774,461,181 is 1.

Thus, LCM of Fractions is 9960.Finally, LCM of Fractions for 20/774, 24/461, 332/181 is 9960.