Least Common Multiple of 30/76, 40/18, 30/431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/76, 40/18, 30/431 quickly i.e. 120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/76, 40/18, 30/431 is 120.

LCM(30/76, 40/18, 30/431) = 120

LCM of 30/76, 40/18, 30/431

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 30/76,40/18,30/431

Given numbers are 30/76,40/18,30/431

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 30,40,30

Least Common Multiple of Numerators i.e. LCM of 30,40,30 is 120.

GCF of Denominators means GCF of 76,18,431 as per the given fractions.

GCF of 76,18,431 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,40,30

LCM of Fractions 30/76,40/18,30/431 is 120

2 30, 40, 30
3 15, 20, 15
5 5, 20, 5
1, 4, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 4 x 1 = 120

Least Common Multiple of 30,40,30 with GCF Formula

Least Common Multiple of 30,40,30 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 30,40,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,40,30) = 10

common factors(in case of two or more numbers have common factors) = 30

GCF(30,40,30) x common factors =10 x 30 = 300

LCM(30,40,30) = ( 30 × 40 × 30 ) / 300

LCM(30,40,30) = 36000 / 300

LCM(30,40,30) = 120


Lets's calculate GCF of 76,18,431

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120/1

Therefore the LCM of Fractions 30/76,40/18,30/431 is 120

Greatest Common Factor of 76,18,431 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,18,431 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Greatest Common Factor

We found the factors 76,18,431 . The biggest common factor number is the GCF number.
So the greatest common factor 76,18,431 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 30/76, 40/18, 30/431

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 30/76, 40/18, 30/431?

Answer: LCM of Numerators as per given numbers 30/76, 40/18, 30/431 is

LCM of Numerators i.e. for 30,40,30 is 120

GCF of denominators i.e. for 76,18,431 is 1.

Thus, LCM of Fractions is 120.Finally, LCM of Fractions for 30/76, 40/18, 30/431 is 120.