Least Common Multiple of 7/30, 1/36, 1/12, 30/311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/30, 1/36, 1/12, 30/311 quickly i.e. 210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/30, 1/36, 1/12, 30/311 is 210.

LCM(7/30, 1/36, 1/12, 30/311) = 210

LCM of 7/30, 1/36, 1/12, 30/311

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 7/30,1/36,1/12,30/311

Given numbers are 7/30,1/36,1/12,30/311

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 7,1,1,30

Least Common Multiple of Numerators i.e. LCM of 7,1,1,30 is 210.

GCF of Denominators means GCF of 30,36,12,311 as per the given fractions.

GCF of 30,36,12,311 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,1,1,30

LCM of Fractions 7/30,1/36,1/12,30/311 is 210

Given numbers has no common factors except 1. So, there LCM is their product i.e 210

Least Common Multiple of 7,1,1,30 with GCF Formula

Least Common Multiple of 7,1,1,30 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 7,1,1,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,1,1,30) = 1

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

GCF(7,1,1,30) x common factors =1 x 1 = 1

LCM(7,1,1,30) = ( 7 × 1 × 1 × 30 ) / 1

LCM(7,1,1,30) = 210 / 1

LCM(7,1,1,30) = 210


Lets's calculate GCF of 30,36,12,311

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 210/1

Therefore the LCM of Fractions 7/30,1/36,1/12,30/311 is 210

Greatest Common Factor of 30,36,12,311 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,36,12,311 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Greatest Common Factor

We found the factors 30,36,12,311 . The biggest common factor number is the GCF number.
So the greatest common factor 30,36,12,311 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 7/30, 1/36, 1/12, 30/311

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 7/30, 1/36, 1/12, 30/311?

Answer: LCM of Numerators as per given numbers 7/30, 1/36, 1/12, 30/311 is

LCM of Numerators i.e. for 7,1,1,30 is 210

GCF of denominators i.e. for 30,36,12,311 is 1.

Thus, LCM of Fractions is 210.Finally, LCM of Fractions for 7/30, 1/36, 1/12, 30/311 is 210.