Least Common Multiple of 42/73, 42/79, 867/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/73, 42/79, 867/930 quickly i.e. 12138 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/73, 42/79, 867/930 is 12138.

LCM(42/73, 42/79, 867/930) = 12138

LCM of 42/73, 42/79, 867/930

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 42/73,42/79,867/930

Given numbers are 42/73,42/79,867/930

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 42,42,867

Least Common Multiple of Numerators i.e. LCM of 42,42,867 is 12138.

GCF of Denominators means GCF of 73,79,930 as per the given fractions.

GCF of 73,79,930 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,42,867

LCM of Fractions 42/73,42/79,867/930 is 12138

2 42, 42, 867
3 21, 21, 867
7 7, 7, 289
1, 1, 289

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 1 x 289 = 12138

Least Common Multiple of 42,42,867 with GCF Formula

Least Common Multiple of 42,42,867 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 42,42,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,42,867) = 3

common factors(in case of two or more numbers have common factors) = 42

GCF(42,42,867) x common factors =3 x 42 = 126

LCM(42,42,867) = ( 42 × 42 × 867 ) / 126

LCM(42,42,867) = 1529388 / 126

LCM(42,42,867) = 12138


Lets's calculate GCF of 73,79,930

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12138/1

Therefore the LCM of Fractions 42/73,42/79,867/930 is 12138

Greatest Common Factor of 73,79,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,79,930 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 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Greatest Common Factor

We found the factors 73,79,930 . The biggest common factor number is the GCF number.
So the greatest common factor 73,79,930 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 42/73, 42/79, 867/930

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 42/73, 42/79, 867/930?

Answer: LCM of Numerators as per given numbers 42/73, 42/79, 867/930 is

LCM of Numerators i.e. for 42,42,867 is 12138

GCF of denominators i.e. for 73,79,930 is 1.

Thus, LCM of Fractions is 12138.Finally, LCM of Fractions for 42/73, 42/79, 867/930 is 12138.