Least Common Multiple of 7167/235, 2412/9706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7167/235, 2412/9706 quickly i.e. 5762268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7167/235, 2412/9706 is 5762268.

LCM(7167/235, 2412/9706) = 5762268

LCM of 7167/235, 2412/9706

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 7167/235,2412/9706

Given numbers are 7167/235,2412/9706

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 7167,2412

Least Common Multiple of Numerators i.e. LCM of 7167,2412 is 5762268.

GCF of Denominators means GCF of 235,9706 as per the given fractions.

GCF of 235,9706 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7167,2412

LCM of Fractions 7167/235,2412/9706 is 5762268

3 7167, 2412
2389, 804

∴ So the LCM of the given numbers is 3 x 2389 x 804 = 5762268

Least Common Multiple of 7167,2412 with GCF Formula

Least Common Multiple of 7167,2412 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 7167,2412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7167,2412) = 3

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

GCF(7167,2412) x common factors =3 x 1 = 3

LCM(7167,2412) = ( 7167 × 2412 ) / 3

LCM(7167,2412) = 17286804 / 3

LCM(7167,2412) = 5762268


Lets's calculate GCF of 235,9706

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5762268/1

Therefore the LCM of Fractions 7167/235,2412/9706 is 5762268

Greatest Common Factor of 235,9706 By Matching Biggest Common Factor Method

Greatest Common Factor of 235,9706 By Matching Biggest Common Factor Method

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Factors of 9706

List of positive integer factors of 9706 that divides 9706 without a remainder.

1,2,23,46,211,422,4853,9706

Greatest Common Factor

We found the factors 235,9706 . The biggest common factor number is the GCF number.
So the greatest common factor 235,9706 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 7167/235, 2412/9706

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 7167/235, 2412/9706?

Answer: LCM of Numerators as per given numbers 7167/235, 2412/9706 is

LCM of Numerators i.e. for 7167,2412 is 5762268

GCF of denominators i.e. for 235,9706 is 1.

Thus, LCM of Fractions is 5762268.Finally, LCM of Fractions for 7167/235, 2412/9706 is 5762268.