Least Common Multiple of 72/616, 734/165, 325/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 72/616, 734/165, 325/802 quickly i.e. 8587800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/616, 734/165, 325/802 is 8587800.

LCM(72/616, 734/165, 325/802) = 8587800

LCM of 72/616, 734/165, 325/802

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 72/616,734/165,325/802

Given numbers are 72/616,734/165,325/802

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 72,734,325

Least Common Multiple of Numerators i.e. LCM of 72,734,325 is 8587800.

GCF of Denominators means GCF of 616,165,802 as per the given fractions.

GCF of 616,165,802 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,734,325

LCM of Fractions 72/616,734/165,325/802 is 8587800

2 72, 734, 325
36, 367, 325

∴ So the LCM of the given numbers is 2 x 36 x 367 x 325 = 8587800

Least Common Multiple of 72,734,325 with GCF Formula

Least Common Multiple of 72,734,325 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 72,734,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,734,325) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(72,734,325) x common factors =1 x 2 = 2

LCM(72,734,325) = ( 72 × 734 × 325 ) / 2

LCM(72,734,325) = 17175600 / 2

LCM(72,734,325) = 8587800


Lets's calculate GCF of 616,165,802

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8587800/1

Therefore the LCM of Fractions 72/616,734/165,325/802 is 8587800

Greatest Common Factor of 616,165,802 By Matching Biggest Common Factor Method

Greatest Common Factor of 616,165,802 By Matching Biggest Common Factor Method

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Greatest Common Factor

We found the factors 616,165,802 . The biggest common factor number is the GCF number.
So the greatest common factor 616,165,802 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 72/616, 734/165, 325/802

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 72/616, 734/165, 325/802?

Answer: LCM of Numerators as per given numbers 72/616, 734/165, 325/802 is

LCM of Numerators i.e. for 72,734,325 is 8587800

GCF of denominators i.e. for 616,165,802 is 1.

Thus, LCM of Fractions is 8587800.Finally, LCM of Fractions for 72/616, 734/165, 325/802 is 8587800.