Least Common Multiple of 138/20, 705/3231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 138/20, 705/3231 quickly i.e. 32430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 138/20, 705/3231 is 32430.

LCM(138/20, 705/3231) = 32430

LCM of 138/20, 705/3231

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 138/20,705/3231

Given numbers are 138/20,705/3231

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 138,705

Least Common Multiple of Numerators i.e. LCM of 138,705 is 32430.

GCF of Denominators means GCF of 20,3231 as per the given fractions.

GCF of 20,3231 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 138,705

LCM of Fractions 138/20,705/3231 is 32430

3 138, 705
46, 235

∴ So the LCM of the given numbers is 3 x 46 x 235 = 32430

Least Common Multiple of 138,705 with GCF Formula

Least Common Multiple of 138,705 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 138,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,705) = 3

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

GCF(138,705) x common factors =3 x 1 = 3

LCM(138,705) = ( 138 × 705 ) / 3

LCM(138,705) = 97290 / 3

LCM(138,705) = 32430


Lets's calculate GCF of 20,3231

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32430/1

Therefore the LCM of Fractions 138/20,705/3231 is 32430

Greatest Common Factor of 20,3231 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,3231 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 3231

List of positive integer factors of 3231 that divides 3231 without a remainder.

1,3,9,359,1077,3231

Greatest Common Factor

We found the factors 20,3231 . The biggest common factor number is the GCF number.
So the greatest common factor 20,3231 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 138/20, 705/3231

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 138/20, 705/3231?

Answer: LCM of Numerators as per given numbers 138/20, 705/3231 is

LCM of Numerators i.e. for 138,705 is 32430

GCF of denominators i.e. for 20,3231 is 1.

Thus, LCM of Fractions is 32430.Finally, LCM of Fractions for 138/20, 705/3231 is 32430.