Least Common Multiple of 75/924, 2945/5872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/924, 2945/5872 quickly i.e. 44175/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/924, 2945/5872 is 44175/4.

LCM(75/924, 2945/5872) = 44175/4

LCM of 75/924, 2945/5872

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 75/924,2945/5872

Given numbers are 75/924,2945/5872

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 75,2945

Least Common Multiple of Numerators i.e. LCM of 75,2945 is 44175.

GCF of Denominators means GCF of 924,5872 as per the given fractions.

GCF of 924,5872 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,2945

LCM of Fractions 75/924,2945/5872 is 44175/4

5 75, 2945
15, 589

∴ So the LCM of the given numbers is 5 x 15 x 589 = 44175

Least Common Multiple of 75,2945 with GCF Formula

Least Common Multiple of 75,2945 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 75,2945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,2945) = 5

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

GCF(75,2945) x common factors =5 x 1 = 5

LCM(75,2945) = ( 75 × 2945 ) / 5

LCM(75,2945) = 220875 / 5

LCM(75,2945) = 44175


Lets's calculate GCF of 924,5872

2 924, 5872
2 462, 2936
231, 1468

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44175/4

Therefore the LCM of Fractions 75/924,2945/5872 is 44175/4

Greatest Common Factor of 924,5872 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,5872 By Matching Biggest Common Factor Method

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 5872

List of positive integer factors of 5872 that divides 5872 without a remainder.

1,2,4,8,16,367,734,1468,2936,5872

Greatest Common Factor

We found the factors 924,5872 . The biggest common factor number is the GCF number.
So the greatest common factor 924,5872 is 4.


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 75/924, 2945/5872

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 75/924, 2945/5872?

Answer: LCM of Numerators as per given numbers 75/924, 2945/5872 is

LCM of Numerators i.e. for 75,2945 is 44175

GCF of denominators i.e. for 924,5872 is 4.

Thus, LCM of Fractions is 44175/4.Finally, LCM of Fractions for 75/924, 2945/5872 is 44175/4.