Least Common Multiple of 80/29, 525/72, 144/955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/29, 525/72, 144/955 quickly i.e. 25200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/29, 525/72, 144/955 is 25200.

LCM(80/29, 525/72, 144/955) = 25200

LCM of 80/29, 525/72, 144/955

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 80/29,525/72,144/955

Given numbers are 80/29,525/72,144/955

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 80,525,144

Least Common Multiple of Numerators i.e. LCM of 80,525,144 is 25200.

GCF of Denominators means GCF of 29,72,955 as per the given fractions.

GCF of 29,72,955 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,525,144

LCM of Fractions 80/29,525/72,144/955 is 25200

2 80, 525, 144
2 40, 525, 72
2 20, 525, 36
2 10, 525, 18
3 5, 525, 9
5 5, 175, 3
1, 35, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 1 x 35 x 3 = 25200

Least Common Multiple of 80,525,144 with GCF Formula

Least Common Multiple of 80,525,144 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 80,525,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,525,144) = 1

common factors(in case of two or more numbers have common factors) = 240

GCF(80,525,144) x common factors =1 x 240 = 240

LCM(80,525,144) = ( 80 × 525 × 144 ) / 240

LCM(80,525,144) = 6048000 / 240

LCM(80,525,144) = 25200


Lets's calculate GCF of 29,72,955

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25200/1

Therefore the LCM of Fractions 80/29,525/72,144/955 is 25200

Greatest Common Factor of 29,72,955 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,72,955 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 955

List of positive integer factors of 955 that divides 955 without a remainder.

1,5,191,955

Greatest Common Factor

We found the factors 29,72,955 . The biggest common factor number is the GCF number.
So the greatest common factor 29,72,955 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 80/29, 525/72, 144/955

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 80/29, 525/72, 144/955?

Answer: LCM of Numerators as per given numbers 80/29, 525/72, 144/955 is

LCM of Numerators i.e. for 80,525,144 is 25200

GCF of denominators i.e. for 29,72,955 is 1.

Thus, LCM of Fractions is 25200.Finally, LCM of Fractions for 80/29, 525/72, 144/955 is 25200.