Least Common Multiple of 76/725, 8504/6129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/725, 8504/6129 quickly i.e. 161576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/725, 8504/6129 is 161576.

LCM(76/725, 8504/6129) = 161576

LCM of 76/725, 8504/6129

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 76/725,8504/6129

Given numbers are 76/725,8504/6129

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 76,8504

Least Common Multiple of Numerators i.e. LCM of 76,8504 is 161576.

GCF of Denominators means GCF of 725,6129 as per the given fractions.

GCF of 725,6129 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,8504

LCM of Fractions 76/725,8504/6129 is 161576

2 76, 8504
2 38, 4252
19, 2126

∴ So the LCM of the given numbers is 2 x 2 x 19 x 2126 = 161576

Least Common Multiple of 76,8504 with GCF Formula

Least Common Multiple of 76,8504 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 76,8504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,8504) = 4

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

GCF(76,8504) x common factors =4 x 1 = 4

LCM(76,8504) = ( 76 × 8504 ) / 4

LCM(76,8504) = 646304 / 4

LCM(76,8504) = 161576


Lets's calculate GCF of 725,6129

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 161576/1

Therefore the LCM of Fractions 76/725,8504/6129 is 161576

Greatest Common Factor of 725,6129 By Matching Biggest Common Factor Method

Greatest Common Factor of 725,6129 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 6129

List of positive integer factors of 6129 that divides 6129 without a remainder.

1,3,9,27,227,681,2043,6129

Greatest Common Factor

We found the factors 725,6129 . The biggest common factor number is the GCF number.
So the greatest common factor 725,6129 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 76/725, 8504/6129

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 76/725, 8504/6129?

Answer: LCM of Numerators as per given numbers 76/725, 8504/6129 is

LCM of Numerators i.e. for 76,8504 is 161576

GCF of denominators i.e. for 725,6129 is 1.

Thus, LCM of Fractions is 161576.Finally, LCM of Fractions for 76/725, 8504/6129 is 161576.