Least Common Multiple of 74/76, 572/81, 143/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/76, 572/81, 143/820 quickly i.e. 21164 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/76, 572/81, 143/820 is 21164.

LCM(74/76, 572/81, 143/820) = 21164

LCM of 74/76, 572/81, 143/820

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 74/76,572/81,143/820

Given numbers are 74/76,572/81,143/820

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 74,572,143

Least Common Multiple of Numerators i.e. LCM of 74,572,143 is 21164.

GCF of Denominators means GCF of 76,81,820 as per the given fractions.

GCF of 76,81,820 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,572,143

LCM of Fractions 74/76,572/81,143/820 is 21164

2 74, 572, 143
11 37, 286, 143
13 37, 26, 13
37, 2, 1

∴ So the LCM of the given numbers is 2 x 11 x 13 x 37 x 2 x 1 = 21164

Least Common Multiple of 74,572,143 with GCF Formula

Least Common Multiple of 74,572,143 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 74,572,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,572,143) = 1

common factors(in case of two or more numbers have common factors) = 286

GCF(74,572,143) x common factors =1 x 286 = 286

LCM(74,572,143) = ( 74 × 572 × 143 ) / 286

LCM(74,572,143) = 6052904 / 286

LCM(74,572,143) = 21164


Lets's calculate GCF of 76,81,820

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21164/1

Therefore the LCM of Fractions 74/76,572/81,143/820 is 21164

Greatest Common Factor of 76,81,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,81,820 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 76,81,820 . The biggest common factor number is the GCF number.
So the greatest common factor 76,81,820 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 74/76, 572/81, 143/820

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 74/76, 572/81, 143/820?

Answer: LCM of Numerators as per given numbers 74/76, 572/81, 143/820 is

LCM of Numerators i.e. for 74,572,143 is 21164

GCF of denominators i.e. for 76,81,820 is 1.

Thus, LCM of Fractions is 21164.Finally, LCM of Fractions for 74/76, 572/81, 143/820 is 21164.