Least Common Multiple of 567/53, 306/9080

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 567/53, 306/9080 quickly i.e. 19278 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 567/53, 306/9080 is 19278.

LCM(567/53, 306/9080) = 19278

LCM of 567/53, 306/9080

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 567/53,306/9080

Given numbers are 567/53,306/9080

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 567,306

Least Common Multiple of Numerators i.e. LCM of 567,306 is 19278.

GCF of Denominators means GCF of 53,9080 as per the given fractions.

GCF of 53,9080 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 567,306

LCM of Fractions 567/53,306/9080 is 19278

3 567, 306
3 189, 102
63, 34

∴ So the LCM of the given numbers is 3 x 3 x 63 x 34 = 19278

Least Common Multiple of 567,306 with GCF Formula

Least Common Multiple of 567,306 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 567,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,306) = 9

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

GCF(567,306) x common factors =9 x 1 = 9

LCM(567,306) = ( 567 × 306 ) / 9

LCM(567,306) = 173502 / 9

LCM(567,306) = 19278


Lets's calculate GCF of 53,9080

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19278/1

Therefore the LCM of Fractions 567/53,306/9080 is 19278

Greatest Common Factor of 53,9080 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,9080 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 9080

List of positive integer factors of 9080 that divides 9080 without a remainder.

1,2,4,5,8,10,20,40,227,454,908,1135,1816,2270,4540,9080

Greatest Common Factor

We found the factors 53,9080 . The biggest common factor number is the GCF number.
So the greatest common factor 53,9080 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 567/53, 306/9080

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 567/53, 306/9080?

Answer: LCM of Numerators as per given numbers 567/53, 306/9080 is

LCM of Numerators i.e. for 567,306 is 19278

GCF of denominators i.e. for 53,9080 is 1.

Thus, LCM of Fractions is 19278.Finally, LCM of Fractions for 567/53, 306/9080 is 19278.