Least Common Multiple of 45/432, 85/207, 595/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/432, 85/207, 595/332 quickly i.e. 5355 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/432, 85/207, 595/332 is 5355.

LCM(45/432, 85/207, 595/332) = 5355

LCM of 45/432, 85/207, 595/332

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 45/432,85/207,595/332

Given numbers are 45/432,85/207,595/332

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 45,85,595

Least Common Multiple of Numerators i.e. LCM of 45,85,595 is 5355.

GCF of Denominators means GCF of 432,207,332 as per the given fractions.

GCF of 432,207,332 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,85,595

LCM of Fractions 45/432,85/207,595/332 is 5355

5 45, 85, 595
17 9, 17, 119
9, 1, 7

∴ So the LCM of the given numbers is 5 x 17 x 9 x 1 x 7 = 5355

Least Common Multiple of 45,85,595 with GCF Formula

Least Common Multiple of 45,85,595 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 45,85,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,85,595) = 5

common factors(in case of two or more numbers have common factors) = 85

GCF(45,85,595) x common factors =5 x 85 = 425

LCM(45,85,595) = ( 45 × 85 × 595 ) / 425

LCM(45,85,595) = 2275875 / 425

LCM(45,85,595) = 5355


Lets's calculate GCF of 432,207,332

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5355/1

Therefore the LCM of Fractions 45/432,85/207,595/332 is 5355

Greatest Common Factor of 432,207,332 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,207,332 By Matching Biggest Common Factor Method

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Greatest Common Factor

We found the factors 432,207,332 . The biggest common factor number is the GCF number.
So the greatest common factor 432,207,332 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 45/432, 85/207, 595/332

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 45/432, 85/207, 595/332?

Answer: LCM of Numerators as per given numbers 45/432, 85/207, 595/332 is

LCM of Numerators i.e. for 45,85,595 is 5355

GCF of denominators i.e. for 432,207,332 is 1.

Thus, LCM of Fractions is 5355.Finally, LCM of Fractions for 45/432, 85/207, 595/332 is 5355.