Least Common Multiple of 6484/180, 5683/7192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6484/180, 5683/7192 quickly i.e. 9212143 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6484/180, 5683/7192 is 9212143.

LCM(6484/180, 5683/7192) = 9212143

LCM of 6484/180, 5683/7192

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 6484/180,5683/7192

Given numbers are 6484/180,5683/7192

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 6484,5683

Least Common Multiple of Numerators i.e. LCM of 6484,5683 is 36848572.

GCF of Denominators means GCF of 180,7192 as per the given fractions.

GCF of 180,7192 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6484,5683

LCM of Fractions 6484/180,5683/7192 is 9212143

Given numbers has no common factors except 1. So, there LCM is their product i.e 36848572

Least Common Multiple of 6484,5683 with GCF Formula

Least Common Multiple of 6484,5683 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 6484,5683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6484,5683) = 1

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

GCF(6484,5683) x common factors =1 x 1 = 1

LCM(6484,5683) = ( 6484 × 5683 ) / 1

LCM(6484,5683) = 36848572 / 1

LCM(6484,5683) = 36848572


Lets's calculate GCF of 180,7192

2 180, 7192
2 90, 3596
45, 1798

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36848572/4

Therefore the LCM of Fractions 6484/180,5683/7192 is 9212143

Greatest Common Factor of 180,7192 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,7192 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 7192

List of positive integer factors of 7192 that divides 7192 without a remainder.

1,2,4,8,29,31,58,62,116,124,232,248,899,1798,3596,7192

Greatest Common Factor

We found the factors 180,7192 . The biggest common factor number is the GCF number.
So the greatest common factor 180,7192 is 4.


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 6484/180, 5683/7192

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 6484/180, 5683/7192?

Answer: LCM of Numerators as per given numbers 6484/180, 5683/7192 is

LCM of Numerators i.e. for 6484,5683 is 36848572

GCF of denominators i.e. for 180,7192 is 4.

Thus, LCM of Fractions is 9212143.Finally, LCM of Fractions for 6484/180, 5683/7192 is 9212143.