Least Common Multiple of 189/59, 567/7361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 189/59, 567/7361 quickly i.e. 567 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 189/59, 567/7361 is 567.

LCM(189/59, 567/7361) = 567

LCM of 189/59, 567/7361

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 189/59,567/7361

Given numbers are 189/59,567/7361

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 189,567

Least Common Multiple of Numerators i.e. LCM of 189,567 is 567.

GCF of Denominators means GCF of 59,7361 as per the given fractions.

GCF of 59,7361 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 189,567

LCM of Fractions 189/59,567/7361 is 567

3 189, 567
3 63, 189
3 21, 63
7 7, 21
1, 3

∴ So the LCM of the given numbers is 3 x 3 x 3 x 7 x 1 x 3 = 567

Least Common Multiple of 189,567 with GCF Formula

Least Common Multiple of 189,567 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 189,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,567) = 189

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

GCF(189,567) x common factors =189 x 1 = 189

LCM(189,567) = ( 189 × 567 ) / 189

LCM(189,567) = 107163 / 189

LCM(189,567) = 567


Lets's calculate GCF of 59,7361

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 567/1

Therefore the LCM of Fractions 189/59,567/7361 is 567

Greatest Common Factor of 59,7361 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,7361 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 7361

List of positive integer factors of 7361 that divides 7361 without a remainder.

1,17,433,7361

Greatest Common Factor

We found the factors 59,7361 . The biggest common factor number is the GCF number.
So the greatest common factor 59,7361 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 189/59, 567/7361

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 189/59, 567/7361?

Answer: LCM of Numerators as per given numbers 189/59, 567/7361 is

LCM of Numerators i.e. for 189,567 is 567

GCF of denominators i.e. for 59,7361 is 1.

Thus, LCM of Fractions is 567.Finally, LCM of Fractions for 189/59, 567/7361 is 567.