Least Common Multiple of 30/73, 87/38, 138/752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/73, 87/38, 138/752 quickly i.e. 20010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/73, 87/38, 138/752 is 20010.

LCM(30/73, 87/38, 138/752) = 20010

LCM of 30/73, 87/38, 138/752

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 30/73,87/38,138/752

Given numbers are 30/73,87/38,138/752

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 30,87,138

Least Common Multiple of Numerators i.e. LCM of 30,87,138 is 20010.

GCF of Denominators means GCF of 73,38,752 as per the given fractions.

GCF of 73,38,752 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,87,138

LCM of Fractions 30/73,87/38,138/752 is 20010

2 30, 87, 138
3 15, 87, 69
5, 29, 23

∴ So the LCM of the given numbers is 2 x 3 x 5 x 29 x 23 = 20010

Least Common Multiple of 30,87,138 with GCF Formula

Least Common Multiple of 30,87,138 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 30,87,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,87,138) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(30,87,138) x common factors =3 x 6 = 18

LCM(30,87,138) = ( 30 × 87 × 138 ) / 18

LCM(30,87,138) = 360180 / 18

LCM(30,87,138) = 20010


Lets's calculate GCF of 73,38,752

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20010/1

Therefore the LCM of Fractions 30/73,87/38,138/752 is 20010

Greatest Common Factor of 73,38,752 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,38,752 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Greatest Common Factor

We found the factors 73,38,752 . The biggest common factor number is the GCF number.
So the greatest common factor 73,38,752 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 30/73, 87/38, 138/752

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 30/73, 87/38, 138/752?

Answer: LCM of Numerators as per given numbers 30/73, 87/38, 138/752 is

LCM of Numerators i.e. for 30,87,138 is 20010

GCF of denominators i.e. for 73,38,752 is 1.

Thus, LCM of Fractions is 20010.Finally, LCM of Fractions for 30/73, 87/38, 138/752 is 20010.