Least Common Multiple of 595/80, 212/48, 378/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 595/80, 212/48, 378/326 quickly i.e. 1702890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 595/80, 212/48, 378/326 is 1702890.

LCM(595/80, 212/48, 378/326) = 1702890

LCM of 595/80, 212/48, 378/326

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 595/80,212/48,378/326

Given numbers are 595/80,212/48,378/326

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 595,212,378

Least Common Multiple of Numerators i.e. LCM of 595,212,378 is 3405780.

GCF of Denominators means GCF of 80,48,326 as per the given fractions.

GCF of 80,48,326 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 595,212,378

LCM of Fractions 595/80,212/48,378/326 is 1702890

2 595, 212, 378
7 595, 106, 189
85, 106, 27

∴ So the LCM of the given numbers is 2 x 7 x 85 x 106 x 27 = 3405780

Least Common Multiple of 595,212,378 with GCF Formula

Least Common Multiple of 595,212,378 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 595,212,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(595,212,378) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(595,212,378) x common factors =1 x 14 = 14

LCM(595,212,378) = ( 595 × 212 × 378 ) / 14

LCM(595,212,378) = 47680920 / 14

LCM(595,212,378) = 3405780


Lets's calculate GCF of 80,48,326

2 80, 48, 326
40, 24, 163

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3405780/2

Therefore the LCM of Fractions 595/80,212/48,378/326 is 1702890

Greatest Common Factor of 80,48,326 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,48,326 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 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Greatest Common Factor

We found the factors 80,48,326 . The biggest common factor number is the GCF number.
So the greatest common factor 80,48,326 is 2.


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 595/80, 212/48, 378/326

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 595/80, 212/48, 378/326?

Answer: LCM of Numerators as per given numbers 595/80, 212/48, 378/326 is

LCM of Numerators i.e. for 595,212,378 is 3405780

GCF of denominators i.e. for 80,48,326 is 2.

Thus, LCM of Fractions is 1702890.Finally, LCM of Fractions for 595/80, 212/48, 378/326 is 1702890.