Least Common Multiple of 5975/24, 1904/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5975/24, 1904/696 quickly i.e. 11376400/24 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5975/24, 1904/696 is 11376400/24.

LCM(5975/24, 1904/696) = 11376400/24

LCM of 5975/24, 1904/696

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 5975/24,1904/696

Given numbers are 5975/24,1904/696

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 5975,1904

Least Common Multiple of Numerators i.e. LCM of 5975,1904 is 11376400.

GCF of Denominators means GCF of 24,696 as per the given fractions.

GCF of 24,696 is 24 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5975,1904

LCM of Fractions 5975/24,1904/696 is 11376400/24

Given numbers has no common factors except 1. So, there LCM is their product i.e 11376400

Least Common Multiple of 5975,1904 with GCF Formula

Least Common Multiple of 5975,1904 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 5975,1904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5975,1904) = 1

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

GCF(5975,1904) x common factors =1 x 1 = 1

LCM(5975,1904) = ( 5975 × 1904 ) / 1

LCM(5975,1904) = 11376400 / 1

LCM(5975,1904) = 11376400


Lets's calculate GCF of 24,696

2 24, 696
2 12, 348
2 6, 174
3 3, 87
1, 29

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11376400/24

Therefore the LCM of Fractions 5975/24,1904/696 is 11376400/24

Greatest Common Factor of 24,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,696 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 24,696 . The biggest common factor number is the GCF number.
So the greatest common factor 24,696 is 24.


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 5975/24, 1904/696

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 5975/24, 1904/696?

Answer: LCM of Numerators as per given numbers 5975/24, 1904/696 is

LCM of Numerators i.e. for 5975,1904 is 11376400

GCF of denominators i.e. for 24,696 is 24.

Thus, LCM of Fractions is 11376400/24.Finally, LCM of Fractions for 5975/24, 1904/696 is 11376400/24.