Least Common Multiple of 79/153, 229/371, 874/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/153, 229/371, 874/820 quickly i.e. 15811534 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/153, 229/371, 874/820 is 15811534.

LCM(79/153, 229/371, 874/820) = 15811534

LCM of 79/153, 229/371, 874/820

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 79/153,229/371,874/820

Given numbers are 79/153,229/371,874/820

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 79,229,874

Least Common Multiple of Numerators i.e. LCM of 79,229,874 is 15811534.

GCF of Denominators means GCF of 153,371,820 as per the given fractions.

GCF of 153,371,820 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,229,874

LCM of Fractions 79/153,229/371,874/820 is 15811534

Given numbers has no common factors except 1. So, there LCM is their product i.e 15811534

Least Common Multiple of 79,229,874 with GCF Formula

Least Common Multiple of 79,229,874 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 79,229,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,229,874) = 1

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

GCF(79,229,874) x common factors =1 x 1 = 1

LCM(79,229,874) = ( 79 × 229 × 874 ) / 1

LCM(79,229,874) = 15811534 / 1

LCM(79,229,874) = 15811534


Lets's calculate GCF of 153,371,820

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15811534/1

Therefore the LCM of Fractions 79/153,229/371,874/820 is 15811534

Greatest Common Factor of 153,371,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,371,820 By Matching Biggest Common Factor Method

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

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 153,371,820 . The biggest common factor number is the GCF number.
So the greatest common factor 153,371,820 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 79/153, 229/371, 874/820

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 79/153, 229/371, 874/820?

Answer: LCM of Numerators as per given numbers 79/153, 229/371, 874/820 is

LCM of Numerators i.e. for 79,229,874 is 15811534

GCF of denominators i.e. for 153,371,820 is 1.

Thus, LCM of Fractions is 15811534.Finally, LCM of Fractions for 79/153, 229/371, 874/820 is 15811534.