Least Common Multiple of 289/564, 538/357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 289/564, 538/357 quickly i.e. 155482/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 289/564, 538/357 is 155482/3.

LCM(289/564, 538/357) = 155482/3

LCM of 289/564, 538/357

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 289/564,538/357

Given numbers are 289/564,538/357

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 289,538

Least Common Multiple of Numerators i.e. LCM of 289,538 is 155482.

GCF of Denominators means GCF of 564,357 as per the given fractions.

GCF of 564,357 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 289,538

LCM of Fractions 289/564,538/357 is 155482/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 155482

Least Common Multiple of 289,538 with GCF Formula

Least Common Multiple of 289,538 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 289,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,538) = 1

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

GCF(289,538) x common factors =1 x 1 = 1

LCM(289,538) = ( 289 × 538 ) / 1

LCM(289,538) = 155482 / 1

LCM(289,538) = 155482


Lets's calculate GCF of 564,357

3 564, 357
188, 119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 155482/3

Therefore the LCM of Fractions 289/564,538/357 is 155482/3

Greatest Common Factor of 564,357 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,357 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Greatest Common Factor

We found the factors 564,357 . The biggest common factor number is the GCF number.
So the greatest common factor 564,357 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 289/564, 538/357

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 289/564, 538/357?

Answer: LCM of Numerators as per given numbers 289/564, 538/357 is

LCM of Numerators i.e. for 289,538 is 155482

GCF of denominators i.e. for 564,357 is 3.

Thus, LCM of Fractions is 155482/3.Finally, LCM of Fractions for 289/564, 538/357 is 155482/3.