Least Common Multiple of 9580/180, 2914/6912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9580/180, 2914/6912 quickly i.e. 13958060/36 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9580/180, 2914/6912 is 13958060/36.

LCM(9580/180, 2914/6912) = 13958060/36

LCM of 9580/180, 2914/6912

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 9580/180,2914/6912

Given numbers are 9580/180,2914/6912

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 9580,2914

Least Common Multiple of Numerators i.e. LCM of 9580,2914 is 13958060.

GCF of Denominators means GCF of 180,6912 as per the given fractions.

GCF of 180,6912 is 36 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9580,2914

LCM of Fractions 9580/180,2914/6912 is 13958060/36

2 9580, 2914
4790, 1457

∴ So the LCM of the given numbers is 2 x 4790 x 1457 = 13958060

Least Common Multiple of 9580,2914 with GCF Formula

Least Common Multiple of 9580,2914 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 9580,2914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9580,2914) = 2

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

GCF(9580,2914) x common factors =2 x 1 = 2

LCM(9580,2914) = ( 9580 × 2914 ) / 2

LCM(9580,2914) = 27916120 / 2

LCM(9580,2914) = 13958060


Lets's calculate GCF of 180,6912

2 180, 6912
2 90, 3456
3 45, 1728
3 15, 576
5, 192

∴ 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 = 13958060/36

Therefore the LCM of Fractions 9580/180,2914/6912 is 13958060/36

Greatest Common Factor of 180,6912 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,6912 By Matching Biggest Common Factor Method

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 6912

List of positive integer factors of 6912 that divides 6912 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,128,144,192,216,256,288,384,432,576,768,864,1152,1728,2304,3456,6912

Greatest Common Factor

We found the factors 180,6912 . The biggest common factor number is the GCF number.
So the greatest common factor 180,6912 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 9580/180, 2914/6912

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 9580/180, 2914/6912?

Answer: LCM of Numerators as per given numbers 9580/180, 2914/6912 is

LCM of Numerators i.e. for 9580,2914 is 13958060

GCF of denominators i.e. for 180,6912 is 36.

Thus, LCM of Fractions is 13958060/36.Finally, LCM of Fractions for 9580/180, 2914/6912 is 13958060/36.