Least Common Multiple of 30/96, 36/318, 853/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/96, 36/318, 853/231 quickly i.e. 51180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/96, 36/318, 853/231 is 51180.

LCM(30/96, 36/318, 853/231) = 51180

LCM of 30/96, 36/318, 853/231

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 30/96,36/318,853/231

Given numbers are 30/96,36/318,853/231

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 30,36,853

Least Common Multiple of Numerators i.e. LCM of 30,36,853 is 153540.

GCF of Denominators means GCF of 96,318,231 as per the given fractions.

GCF of 96,318,231 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,36,853

LCM of Fractions 30/96,36/318,853/231 is 51180

2 30, 36, 853
3 15, 18, 853
5, 6, 853

∴ So the LCM of the given numbers is 2 x 3 x 5 x 6 x 853 = 153540

Least Common Multiple of 30,36,853 with GCF Formula

Least Common Multiple of 30,36,853 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 30,36,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,36,853) = 1

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

GCF(30,36,853) x common factors =1 x 6 = 6

LCM(30,36,853) = ( 30 × 36 × 853 ) / 6

LCM(30,36,853) = 921240 / 6

LCM(30,36,853) = 153540


Lets's calculate GCF of 96,318,231

3 96, 318, 231
32, 106, 77

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153540/3

Therefore the LCM of Fractions 30/96,36/318,853/231 is 51180

Greatest Common Factor of 96,318,231 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,318,231 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Greatest Common Factor

We found the factors 96,318,231 . The biggest common factor number is the GCF number.
So the greatest common factor 96,318,231 is 3.


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 30/96, 36/318, 853/231

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 30/96, 36/318, 853/231?

Answer: LCM of Numerators as per given numbers 30/96, 36/318, 853/231 is

LCM of Numerators i.e. for 30,36,853 is 153540

GCF of denominators i.e. for 96,318,231 is 3.

Thus, LCM of Fractions is 51180.Finally, LCM of Fractions for 30/96, 36/318, 853/231 is 51180.