Least Common Multiple of 222/71, 868/29, 277/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 222/71, 868/29, 277/812 quickly i.e. 26688396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 222/71, 868/29, 277/812 is 26688396.

LCM(222/71, 868/29, 277/812) = 26688396

LCM of 222/71, 868/29, 277/812

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 222/71,868/29,277/812

Given numbers are 222/71,868/29,277/812

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 222,868,277

Least Common Multiple of Numerators i.e. LCM of 222,868,277 is 26688396.

GCF of Denominators means GCF of 71,29,812 as per the given fractions.

GCF of 71,29,812 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 222,868,277

LCM of Fractions 222/71,868/29,277/812 is 26688396

2 222, 868, 277
111, 434, 277

∴ So the LCM of the given numbers is 2 x 111 x 434 x 277 = 26688396

Least Common Multiple of 222,868,277 with GCF Formula

Least Common Multiple of 222,868,277 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 222,868,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,868,277) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(222,868,277) x common factors =1 x 2 = 2

LCM(222,868,277) = ( 222 × 868 × 277 ) / 2

LCM(222,868,277) = 53376792 / 2

LCM(222,868,277) = 26688396


Lets's calculate GCF of 71,29,812

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26688396/1

Therefore the LCM of Fractions 222/71,868/29,277/812 is 26688396

Greatest Common Factor of 71,29,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,29,812 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 71,29,812 . The biggest common factor number is the GCF number.
So the greatest common factor 71,29,812 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 222/71, 868/29, 277/812

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 222/71, 868/29, 277/812?

Answer: LCM of Numerators as per given numbers 222/71, 868/29, 277/812 is

LCM of Numerators i.e. for 222,868,277 is 26688396

GCF of denominators i.e. for 71,29,812 is 1.

Thus, LCM of Fractions is 26688396.Finally, LCM of Fractions for 222/71, 868/29, 277/812 is 26688396.