Least Common Multiple of 32/618, 59/514, 600/595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/618, 59/514, 600/595 quickly i.e. 141600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/618, 59/514, 600/595 is 141600.

LCM(32/618, 59/514, 600/595) = 141600

LCM of 32/618, 59/514, 600/595

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 32/618,59/514,600/595

Given numbers are 32/618,59/514,600/595

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 32,59,600

Least Common Multiple of Numerators i.e. LCM of 32,59,600 is 141600.

GCF of Denominators means GCF of 618,514,595 as per the given fractions.

GCF of 618,514,595 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,59,600

LCM of Fractions 32/618,59/514,600/595 is 141600

2 32, 59, 600
2 16, 59, 300
2 8, 59, 150
4, 59, 75

∴ So the LCM of the given numbers is 2 x 2 x 2 x 4 x 59 x 75 = 141600

Least Common Multiple of 32,59,600 with GCF Formula

Least Common Multiple of 32,59,600 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 32,59,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,59,600) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(32,59,600) x common factors =1 x 8 = 8

LCM(32,59,600) = ( 32 × 59 × 600 ) / 8

LCM(32,59,600) = 1132800 / 8

LCM(32,59,600) = 141600


Lets's calculate GCF of 618,514,595

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141600/1

Therefore the LCM of Fractions 32/618,59/514,600/595 is 141600

Greatest Common Factor of 618,514,595 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,514,595 By Matching Biggest Common Factor Method

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Greatest Common Factor

We found the factors 618,514,595 . The biggest common factor number is the GCF number.
So the greatest common factor 618,514,595 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 32/618, 59/514, 600/595

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 32/618, 59/514, 600/595?

Answer: LCM of Numerators as per given numbers 32/618, 59/514, 600/595 is

LCM of Numerators i.e. for 32,59,600 is 141600

GCF of denominators i.e. for 618,514,595 is 1.

Thus, LCM of Fractions is 141600.Finally, LCM of Fractions for 32/618, 59/514, 600/595 is 141600.