Least Common Multiple of 233/615, 642/545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 233/615, 642/545 quickly i.e. 149586/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 233/615, 642/545 is 149586/5.

LCM(233/615, 642/545) = 149586/5

LCM of 233/615, 642/545

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 233/615,642/545

Given numbers are 233/615,642/545

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 233,642

Least Common Multiple of Numerators i.e. LCM of 233,642 is 149586.

GCF of Denominators means GCF of 615,545 as per the given fractions.

GCF of 615,545 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 233,642

LCM of Fractions 233/615,642/545 is 149586/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 149586

Least Common Multiple of 233,642 with GCF Formula

Least Common Multiple of 233,642 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 233,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(233,642) = 1

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

GCF(233,642) x common factors =1 x 1 = 1

LCM(233,642) = ( 233 × 642 ) / 1

LCM(233,642) = 149586 / 1

LCM(233,642) = 149586


Lets's calculate GCF of 615,545

5 615, 545
123, 109

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149586/5

Therefore the LCM of Fractions 233/615,642/545 is 149586/5

Greatest Common Factor of 615,545 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,545 By Matching Biggest Common Factor Method

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Greatest Common Factor

We found the factors 615,545 . The biggest common factor number is the GCF number.
So the greatest common factor 615,545 is 5.


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 233/615, 642/545

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 233/615, 642/545?

Answer: LCM of Numerators as per given numbers 233/615, 642/545 is

LCM of Numerators i.e. for 233,642 is 149586

GCF of denominators i.e. for 615,545 is 5.

Thus, LCM of Fractions is 149586/5.Finally, LCM of Fractions for 233/615, 642/545 is 149586/5.