Least Common Multiple of 222/759, 2567/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 222/759, 2567/213 quickly i.e. 189958 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 222/759, 2567/213 is 189958.

LCM(222/759, 2567/213) = 189958

LCM of 222/759, 2567/213

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 222/759,2567/213

Given numbers are 222/759,2567/213

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 222,2567

Least Common Multiple of Numerators i.e. LCM of 222,2567 is 569874.

GCF of Denominators means GCF of 759,213 as per the given fractions.

GCF of 759,213 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 222,2567

LCM of Fractions 222/759,2567/213 is 189958

Given numbers has no common factors except 1. So, there LCM is their product i.e 569874

Least Common Multiple of 222,2567 with GCF Formula

Least Common Multiple of 222,2567 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 222,2567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,2567) = 1

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

GCF(222,2567) x common factors =1 x 1 = 1

LCM(222,2567) = ( 222 × 2567 ) / 1

LCM(222,2567) = 569874 / 1

LCM(222,2567) = 569874


Lets's calculate GCF of 759,213

3 759, 213
253, 71

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 569874/3

Therefore the LCM of Fractions 222/759,2567/213 is 189958

Greatest Common Factor of 759,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 759,213 By Matching Biggest Common Factor Method

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 759,213 . The biggest common factor number is the GCF number.
So the greatest common factor 759,213 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 222/759, 2567/213

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 222/759, 2567/213?

Answer: LCM of Numerators as per given numbers 222/759, 2567/213 is

LCM of Numerators i.e. for 222,2567 is 569874

GCF of denominators i.e. for 759,213 is 3.

Thus, LCM of Fractions is 189958.Finally, LCM of Fractions for 222/759, 2567/213 is 189958.