Least Common Multiple of 7204/179, 6829/9015

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7204/179, 6829/9015 quickly i.e. 49196116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7204/179, 6829/9015 is 49196116.

LCM(7204/179, 6829/9015) = 49196116

LCM of 7204/179, 6829/9015

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 7204/179,6829/9015

Given numbers are 7204/179,6829/9015

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 7204,6829

Least Common Multiple of Numerators i.e. LCM of 7204,6829 is 49196116.

GCF of Denominators means GCF of 179,9015 as per the given fractions.

GCF of 179,9015 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7204,6829

LCM of Fractions 7204/179,6829/9015 is 49196116

Given numbers has no common factors except 1. So, there LCM is their product i.e 49196116

Least Common Multiple of 7204,6829 with GCF Formula

Least Common Multiple of 7204,6829 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 7204,6829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7204,6829) = 1

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

GCF(7204,6829) x common factors =1 x 1 = 1

LCM(7204,6829) = ( 7204 × 6829 ) / 1

LCM(7204,6829) = 49196116 / 1

LCM(7204,6829) = 49196116


Lets's calculate GCF of 179,9015

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49196116/1

Therefore the LCM of Fractions 7204/179,6829/9015 is 49196116

Greatest Common Factor of 179,9015 By Matching Biggest Common Factor Method

Greatest Common Factor of 179,9015 By Matching Biggest Common Factor Method

Factors of 179

List of positive integer factors of 179 that divides 179 without a remainder.

1,179

Factors of 9015

List of positive integer factors of 9015 that divides 9015 without a remainder.

1,3,5,15,601,1803,3005,9015

Greatest Common Factor

We found the factors 179,9015 . The biggest common factor number is the GCF number.
So the greatest common factor 179,9015 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 7204/179, 6829/9015

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 7204/179, 6829/9015?

Answer: LCM of Numerators as per given numbers 7204/179, 6829/9015 is

LCM of Numerators i.e. for 7204,6829 is 49196116

GCF of denominators i.e. for 179,9015 is 1.

Thus, LCM of Fractions is 49196116.Finally, LCM of Fractions for 7204/179, 6829/9015 is 49196116.