Least Common Multiple of 10/231, 2514/9846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/231, 2514/9846 quickly i.e. 4190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/231, 2514/9846 is 4190.

LCM(10/231, 2514/9846) = 4190

LCM of 10/231, 2514/9846

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 10/231,2514/9846

Given numbers are 10/231,2514/9846

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 10,2514

Least Common Multiple of Numerators i.e. LCM of 10,2514 is 12570.

GCF of Denominators means GCF of 231,9846 as per the given fractions.

GCF of 231,9846 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,2514

LCM of Fractions 10/231,2514/9846 is 4190

2 10, 2514
5, 1257

∴ So the LCM of the given numbers is 2 x 5 x 1257 = 12570

Least Common Multiple of 10,2514 with GCF Formula

Least Common Multiple of 10,2514 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 10,2514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,2514) = 2

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

GCF(10,2514) x common factors =2 x 1 = 2

LCM(10,2514) = ( 10 × 2514 ) / 2

LCM(10,2514) = 25140 / 2

LCM(10,2514) = 12570


Lets's calculate GCF of 231,9846

3 231, 9846
77, 3282

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12570/3

Therefore the LCM of Fractions 10/231,2514/9846 is 4190

Greatest Common Factor of 231,9846 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,9846 By Matching Biggest Common Factor Method

Factors of 231

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

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

Factors of 9846

List of positive integer factors of 9846 that divides 9846 without a remainder.

1,2,3,6,9,18,547,1094,1641,3282,4923,9846

Greatest Common Factor

We found the factors 231,9846 . The biggest common factor number is the GCF number.
So the greatest common factor 231,9846 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 10/231, 2514/9846

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 10/231, 2514/9846?

Answer: LCM of Numerators as per given numbers 10/231, 2514/9846 is

LCM of Numerators i.e. for 10,2514 is 12570

GCF of denominators i.e. for 231,9846 is 3.

Thus, LCM of Fractions is 4190.Finally, LCM of Fractions for 10/231, 2514/9846 is 4190.