Least Common Multiple of 75/89, 17/29, 45/153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/89, 17/29, 45/153 quickly i.e. 3825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/89, 17/29, 45/153 is 3825.

LCM(75/89, 17/29, 45/153) = 3825

LCM of 75/89, 17/29, 45/153

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 75/89,17/29,45/153

Given numbers are 75/89,17/29,45/153

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 75,17,45

Least Common Multiple of Numerators i.e. LCM of 75,17,45 is 3825.

GCF of Denominators means GCF of 89,29,153 as per the given fractions.

GCF of 89,29,153 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,17,45

LCM of Fractions 75/89,17/29,45/153 is 3825

3 75, 17, 45
5 25, 17, 15
5, 17, 3

∴ So the LCM of the given numbers is 3 x 5 x 5 x 17 x 3 = 3825

Least Common Multiple of 75,17,45 with GCF Formula

Least Common Multiple of 75,17,45 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 75,17,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,17,45) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(75,17,45) x common factors =1 x 15 = 15

LCM(75,17,45) = ( 75 × 17 × 45 ) / 15

LCM(75,17,45) = 57375 / 15

LCM(75,17,45) = 3825


Lets's calculate GCF of 89,29,153

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3825/1

Therefore the LCM of Fractions 75/89,17/29,45/153 is 3825

Greatest Common Factor of 89,29,153 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,29,153 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 29

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

1,29

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Greatest Common Factor

We found the factors 89,29,153 . The biggest common factor number is the GCF number.
So the greatest common factor 89,29,153 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 75/89, 17/29, 45/153

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 75/89, 17/29, 45/153?

Answer: LCM of Numerators as per given numbers 75/89, 17/29, 45/153 is

LCM of Numerators i.e. for 75,17,45 is 3825

GCF of denominators i.e. for 89,29,153 is 1.

Thus, LCM of Fractions is 3825.Finally, LCM of Fractions for 75/89, 17/29, 45/153 is 3825.