Least Common Multiple of 9562/216, 6166/7164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9562/216, 6166/7164 quickly i.e. 29479646/36 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9562/216, 6166/7164 is 29479646/36.

LCM(9562/216, 6166/7164) = 29479646/36

LCM of 9562/216, 6166/7164

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 9562/216,6166/7164

Given numbers are 9562/216,6166/7164

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 9562,6166

Least Common Multiple of Numerators i.e. LCM of 9562,6166 is 29479646.

GCF of Denominators means GCF of 216,7164 as per the given fractions.

GCF of 216,7164 is 36 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9562,6166

LCM of Fractions 9562/216,6166/7164 is 29479646/36

2 9562, 6166
4781, 3083

∴ So the LCM of the given numbers is 2 x 4781 x 3083 = 29479646

Least Common Multiple of 9562,6166 with GCF Formula

Least Common Multiple of 9562,6166 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 9562,6166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9562,6166) = 2

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

GCF(9562,6166) x common factors =2 x 1 = 2

LCM(9562,6166) = ( 9562 × 6166 ) / 2

LCM(9562,6166) = 58959292 / 2

LCM(9562,6166) = 29479646


Lets's calculate GCF of 216,7164

2 216, 7164
2 108, 3582
3 54, 1791
3 18, 597
6, 199

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29479646/36

Therefore the LCM of Fractions 9562/216,6166/7164 is 29479646/36

Greatest Common Factor of 216,7164 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,7164 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 7164

List of positive integer factors of 7164 that divides 7164 without a remainder.

1,2,3,4,6,9,12,18,36,199,398,597,796,1194,1791,2388,3582,7164

Greatest Common Factor

We found the factors 216,7164 . The biggest common factor number is the GCF number.
So the greatest common factor 216,7164 is 36.


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 9562/216, 6166/7164

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 9562/216, 6166/7164?

Answer: LCM of Numerators as per given numbers 9562/216, 6166/7164 is

LCM of Numerators i.e. for 9562,6166 is 29479646

GCF of denominators i.e. for 216,7164 is 36.

Thus, LCM of Fractions is 29479646/36.Finally, LCM of Fractions for 9562/216, 6166/7164 is 29479646/36.