Least Common Multiple of 567/16, 137/7335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 567/16, 137/7335 quickly i.e. 77679 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 567/16, 137/7335 is 77679.

LCM(567/16, 137/7335) = 77679

LCM of 567/16, 137/7335

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 567/16,137/7335

Given numbers are 567/16,137/7335

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 567,137

Least Common Multiple of Numerators i.e. LCM of 567,137 is 77679.

GCF of Denominators means GCF of 16,7335 as per the given fractions.

GCF of 16,7335 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 567,137

LCM of Fractions 567/16,137/7335 is 77679

Given numbers has no common factors except 1. So, there LCM is their product i.e 77679

Least Common Multiple of 567,137 with GCF Formula

Least Common Multiple of 567,137 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 567,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,137) = 1

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

GCF(567,137) x common factors =1 x 1 = 1

LCM(567,137) = ( 567 × 137 ) / 1

LCM(567,137) = 77679 / 1

LCM(567,137) = 77679


Lets's calculate GCF of 16,7335

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77679/1

Therefore the LCM of Fractions 567/16,137/7335 is 77679

Greatest Common Factor of 16,7335 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,7335 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 7335

List of positive integer factors of 7335 that divides 7335 without a remainder.

1,3,5,9,15,45,163,489,815,1467,2445,7335

Greatest Common Factor

We found the factors 16,7335 . The biggest common factor number is the GCF number.
So the greatest common factor 16,7335 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 567/16, 137/7335

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 567/16, 137/7335?

Answer: LCM of Numerators as per given numbers 567/16, 137/7335 is

LCM of Numerators i.e. for 567,137 is 77679

GCF of denominators i.e. for 16,7335 is 1.

Thus, LCM of Fractions is 77679.Finally, LCM of Fractions for 567/16, 137/7335 is 77679.