Least Common Multiple of 73/80, 69/40, 24/60, 45/875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/80, 69/40, 24/60, 45/875 quickly i.e. 120888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/80, 69/40, 24/60, 45/875 is 120888.

LCM(73/80, 69/40, 24/60, 45/875) = 120888

LCM of 73/80, 69/40, 24/60, 45/875

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 73/80,69/40,24/60,45/875

Given numbers are 73/80,69/40,24/60,45/875

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 73,69,24,45

Least Common Multiple of Numerators i.e. LCM of 73,69,24,45 is 604440.

GCF of Denominators means GCF of 80,40,60,875 as per the given fractions.

GCF of 80,40,60,875 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,69,24,45

LCM of Fractions 73/80,69/40,24/60,45/875 is 120888

3 73, 69, 24, 45
73, 23, 8, 15

∴ So the LCM of the given numbers is 3 x 73 x 23 x 8 x 15 = 604440

Least Common Multiple of 73,69,24,45 with GCF Formula

Least Common Multiple of 73,69,24,45 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 73,69,24,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,69,24,45) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(73,69,24,45) x common factors =1 x 9 = 9

LCM(73,69,24,45) = ( 73 × 69 × 24 × 45 ) / 9

LCM(73,69,24,45) = 5439960 / 9

LCM(73,69,24,45) = 604440


Lets's calculate GCF of 80,40,60,875

5 80, 40, 60, 875
16, 8, 12, 175

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 604440/5

Therefore the LCM of Fractions 73/80,69/40,24/60,45/875 is 120888

Greatest Common Factor of 80,40,60,875 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,40,60,875 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Greatest Common Factor

We found the factors 80,40,60,875 . The biggest common factor number is the GCF number.
So the greatest common factor 80,40,60,875 is 5.


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 73/80, 69/40, 24/60, 45/875

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 73/80, 69/40, 24/60, 45/875?

Answer: LCM of Numerators as per given numbers 73/80, 69/40, 24/60, 45/875 is

LCM of Numerators i.e. for 73,69,24,45 is 604440

GCF of denominators i.e. for 80,40,60,875 is 5.

Thus, LCM of Fractions is 120888.Finally, LCM of Fractions for 73/80, 69/40, 24/60, 45/875 is 120888.