Least Common Multiple of 7601/725, 6289/2898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7601/725, 6289/2898 quickly i.e. 47802689 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7601/725, 6289/2898 is 47802689.

LCM(7601/725, 6289/2898) = 47802689

LCM of 7601/725, 6289/2898

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 7601/725,6289/2898

Given numbers are 7601/725,6289/2898

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 7601,6289

Least Common Multiple of Numerators i.e. LCM of 7601,6289 is 47802689.

GCF of Denominators means GCF of 725,2898 as per the given fractions.

GCF of 725,2898 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7601,6289

LCM of Fractions 7601/725,6289/2898 is 47802689

Given numbers has no common factors except 1. So, there LCM is their product i.e 47802689

Least Common Multiple of 7601,6289 with GCF Formula

Least Common Multiple of 7601,6289 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 7601,6289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7601,6289) = 1

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

GCF(7601,6289) x common factors =1 x 1 = 1

LCM(7601,6289) = ( 7601 × 6289 ) / 1

LCM(7601,6289) = 47802689 / 1

LCM(7601,6289) = 47802689


Lets's calculate GCF of 725,2898

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47802689/1

Therefore the LCM of Fractions 7601/725,6289/2898 is 47802689

Greatest Common Factor of 725,2898 By Matching Biggest Common Factor Method

Greatest Common Factor of 725,2898 By Matching Biggest Common Factor Method

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 2898

List of positive integer factors of 2898 that divides 2898 without a remainder.

1,2,3,6,7,9,14,18,21,23,42,46,63,69,126,138,161,207,322,414,483,966,1449,2898

Greatest Common Factor

We found the factors 725,2898 . The biggest common factor number is the GCF number.
So the greatest common factor 725,2898 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 7601/725, 6289/2898

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 7601/725, 6289/2898?

Answer: LCM of Numerators as per given numbers 7601/725, 6289/2898 is

LCM of Numerators i.e. for 7601,6289 is 47802689

GCF of denominators i.e. for 725,2898 is 1.

Thus, LCM of Fractions is 47802689.Finally, LCM of Fractions for 7601/725, 6289/2898 is 47802689.