Least Common Multiple of 9576/164, 5929/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9576/164, 5929/754 quickly i.e. 4055436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9576/164, 5929/754 is 4055436.

LCM(9576/164, 5929/754) = 4055436

LCM of 9576/164, 5929/754

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 9576/164,5929/754

Given numbers are 9576/164,5929/754

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 9576,5929

Least Common Multiple of Numerators i.e. LCM of 9576,5929 is 8110872.

GCF of Denominators means GCF of 164,754 as per the given fractions.

GCF of 164,754 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9576,5929

LCM of Fractions 9576/164,5929/754 is 4055436

7 9576, 5929
1368, 847

∴ So the LCM of the given numbers is 7 x 1368 x 847 = 8110872

Least Common Multiple of 9576,5929 with GCF Formula

Least Common Multiple of 9576,5929 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 9576,5929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9576,5929) = 7

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

GCF(9576,5929) x common factors =7 x 1 = 7

LCM(9576,5929) = ( 9576 × 5929 ) / 7

LCM(9576,5929) = 56776104 / 7

LCM(9576,5929) = 8110872


Lets's calculate GCF of 164,754

2 164, 754
82, 377

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8110872/2

Therefore the LCM of Fractions 9576/164,5929/754 is 4055436

Greatest Common Factor of 164,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,754 By Matching Biggest Common Factor Method

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 164,754 . The biggest common factor number is the GCF number.
So the greatest common factor 164,754 is 2.


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 9576/164, 5929/754

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 9576/164, 5929/754?

Answer: LCM of Numerators as per given numbers 9576/164, 5929/754 is

LCM of Numerators i.e. for 9576,5929 is 8110872

GCF of denominators i.e. for 164,754 is 2.

Thus, LCM of Fractions is 4055436.Finally, LCM of Fractions for 9576/164, 5929/754 is 4055436.