Least Common Multiple of 888/722, 296/815, 273/811

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 888/722, 296/815, 273/811 quickly i.e. 80808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 888/722, 296/815, 273/811 is 80808.

LCM(888/722, 296/815, 273/811) = 80808

LCM of 888/722, 296/815, 273/811

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 888/722,296/815,273/811

Given numbers are 888/722,296/815,273/811

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 888,296,273

Least Common Multiple of Numerators i.e. LCM of 888,296,273 is 80808.

GCF of Denominators means GCF of 722,815,811 as per the given fractions.

GCF of 722,815,811 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 888,296,273

LCM of Fractions 888/722,296/815,273/811 is 80808

2 888, 296, 273
2 444, 148, 273
2 222, 74, 273
3 111, 37, 273
37 37, 37, 91
1, 1, 91

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 37 x 1 x 1 x 91 = 80808

Least Common Multiple of 888,296,273 with GCF Formula

Least Common Multiple of 888,296,273 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 888,296,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(888,296,273) = 1

common factors(in case of two or more numbers have common factors) = 888

GCF(888,296,273) x common factors =1 x 888 = 888

LCM(888,296,273) = ( 888 × 296 × 273 ) / 888

LCM(888,296,273) = 71757504 / 888

LCM(888,296,273) = 80808


Lets's calculate GCF of 722,815,811

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80808/1

Therefore the LCM of Fractions 888/722,296/815,273/811 is 80808

Greatest Common Factor of 722,815,811 By Matching Biggest Common Factor Method

Greatest Common Factor of 722,815,811 By Matching Biggest Common Factor Method

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1,811

Greatest Common Factor

We found the factors 722,815,811 . The biggest common factor number is the GCF number.
So the greatest common factor 722,815,811 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 888/722, 296/815, 273/811

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 888/722, 296/815, 273/811?

Answer: LCM of Numerators as per given numbers 888/722, 296/815, 273/811 is

LCM of Numerators i.e. for 888,296,273 is 80808

GCF of denominators i.e. for 722,815,811 is 1.

Thus, LCM of Fractions is 80808.Finally, LCM of Fractions for 888/722, 296/815, 273/811 is 80808.