Least Common Multiple of 222/57, 8522/369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 222/57, 8522/369 quickly i.e. 315314 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 222/57, 8522/369 is 315314.

LCM(222/57, 8522/369) = 315314

LCM of 222/57, 8522/369

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 222/57,8522/369

Given numbers are 222/57,8522/369

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 222,8522

Least Common Multiple of Numerators i.e. LCM of 222,8522 is 945942.

GCF of Denominators means GCF of 57,369 as per the given fractions.

GCF of 57,369 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 222,8522

LCM of Fractions 222/57,8522/369 is 315314

2 222, 8522
111, 4261

∴ So the LCM of the given numbers is 2 x 111 x 4261 = 945942

Least Common Multiple of 222,8522 with GCF Formula

Least Common Multiple of 222,8522 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 222,8522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,8522) = 2

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

GCF(222,8522) x common factors =2 x 1 = 2

LCM(222,8522) = ( 222 × 8522 ) / 2

LCM(222,8522) = 1891884 / 2

LCM(222,8522) = 945942


Lets's calculate GCF of 57,369

3 57, 369
19, 123

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 945942/3

Therefore the LCM of Fractions 222/57,8522/369 is 315314

Greatest Common Factor of 57,369 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,369 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Greatest Common Factor

We found the factors 57,369 . The biggest common factor number is the GCF number.
So the greatest common factor 57,369 is 3.


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 222/57, 8522/369

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 222/57, 8522/369?

Answer: LCM of Numerators as per given numbers 222/57, 8522/369 is

LCM of Numerators i.e. for 222,8522 is 945942

GCF of denominators i.e. for 57,369 is 3.

Thus, LCM of Fractions is 315314.Finally, LCM of Fractions for 222/57, 8522/369 is 315314.