Least Common Multiple of 80/172, 22/195, 675/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/172, 22/195, 675/169 quickly i.e. 118800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/172, 22/195, 675/169 is 118800.

LCM(80/172, 22/195, 675/169) = 118800

LCM of 80/172, 22/195, 675/169

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 80/172,22/195,675/169

Given numbers are 80/172,22/195,675/169

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 80,22,675

Least Common Multiple of Numerators i.e. LCM of 80,22,675 is 118800.

GCF of Denominators means GCF of 172,195,169 as per the given fractions.

GCF of 172,195,169 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,22,675

LCM of Fractions 80/172,22/195,675/169 is 118800

2 80, 22, 675
5 40, 11, 675
8, 11, 135

∴ So the LCM of the given numbers is 2 x 5 x 8 x 11 x 135 = 118800

Least Common Multiple of 80,22,675 with GCF Formula

Least Common Multiple of 80,22,675 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 80,22,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,22,675) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(80,22,675) x common factors =1 x 10 = 10

LCM(80,22,675) = ( 80 × 22 × 675 ) / 10

LCM(80,22,675) = 1188000 / 10

LCM(80,22,675) = 118800


Lets's calculate GCF of 172,195,169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118800/1

Therefore the LCM of Fractions 80/172,22/195,675/169 is 118800

Greatest Common Factor of 172,195,169 By Matching Biggest Common Factor Method

Greatest Common Factor of 172,195,169 By Matching Biggest Common Factor Method

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Greatest Common Factor

We found the factors 172,195,169 . The biggest common factor number is the GCF number.
So the greatest common factor 172,195,169 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 80/172, 22/195, 675/169

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 80/172, 22/195, 675/169?

Answer: LCM of Numerators as per given numbers 80/172, 22/195, 675/169 is

LCM of Numerators i.e. for 80,22,675 is 118800

GCF of denominators i.e. for 172,195,169 is 1.

Thus, LCM of Fractions is 118800.Finally, LCM of Fractions for 80/172, 22/195, 675/169 is 118800.