Least Common Multiple of 233/72, 140/6658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 233/72, 140/6658 quickly i.e. 16310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 233/72, 140/6658 is 16310.

LCM(233/72, 140/6658) = 16310

LCM of 233/72, 140/6658

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 233/72,140/6658

Given numbers are 233/72,140/6658

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 233,140

Least Common Multiple of Numerators i.e. LCM of 233,140 is 32620.

GCF of Denominators means GCF of 72,6658 as per the given fractions.

GCF of 72,6658 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 233,140

LCM of Fractions 233/72,140/6658 is 16310

Given numbers has no common factors except 1. So, there LCM is their product i.e 32620

Least Common Multiple of 233,140 with GCF Formula

Least Common Multiple of 233,140 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 233,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(233,140) = 1

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

GCF(233,140) x common factors =1 x 1 = 1

LCM(233,140) = ( 233 × 140 ) / 1

LCM(233,140) = 32620 / 1

LCM(233,140) = 32620


Lets's calculate GCF of 72,6658

2 72, 6658
36, 3329

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32620/2

Therefore the LCM of Fractions 233/72,140/6658 is 16310

Greatest Common Factor of 72,6658 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,6658 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 6658

List of positive integer factors of 6658 that divides 6658 without a remainder.

1,2,3329,6658

Greatest Common Factor

We found the factors 72,6658 . The biggest common factor number is the GCF number.
So the greatest common factor 72,6658 is 2.


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 233/72, 140/6658

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 233/72, 140/6658?

Answer: LCM of Numerators as per given numbers 233/72, 140/6658 is

LCM of Numerators i.e. for 233,140 is 32620

GCF of denominators i.e. for 72,6658 is 2.

Thus, LCM of Fractions is 16310.Finally, LCM of Fractions for 233/72, 140/6658 is 16310.