Least Common Multiple of 32/300, 38/715, 351/487

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/300, 38/715, 351/487 quickly i.e. 213408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/300, 38/715, 351/487 is 213408.

LCM(32/300, 38/715, 351/487) = 213408

LCM of 32/300, 38/715, 351/487

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 32/300,38/715,351/487

Given numbers are 32/300,38/715,351/487

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 32,38,351

Least Common Multiple of Numerators i.e. LCM of 32,38,351 is 213408.

GCF of Denominators means GCF of 300,715,487 as per the given fractions.

GCF of 300,715,487 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,38,351

LCM of Fractions 32/300,38/715,351/487 is 213408

2 32, 38, 351
16, 19, 351

∴ So the LCM of the given numbers is 2 x 16 x 19 x 351 = 213408

Least Common Multiple of 32,38,351 with GCF Formula

Least Common Multiple of 32,38,351 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 32,38,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,38,351) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(32,38,351) x common factors =1 x 2 = 2

LCM(32,38,351) = ( 32 × 38 × 351 ) / 2

LCM(32,38,351) = 426816 / 2

LCM(32,38,351) = 213408


Lets's calculate GCF of 300,715,487

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213408/1

Therefore the LCM of Fractions 32/300,38/715,351/487 is 213408

Greatest Common Factor of 300,715,487 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,715,487 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Greatest Common Factor

We found the factors 300,715,487 . The biggest common factor number is the GCF number.
So the greatest common factor 300,715,487 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 32/300, 38/715, 351/487

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 32/300, 38/715, 351/487?

Answer: LCM of Numerators as per given numbers 32/300, 38/715, 351/487 is

LCM of Numerators i.e. for 32,38,351 is 213408

GCF of denominators i.e. for 300,715,487 is 1.

Thus, LCM of Fractions is 213408.Finally, LCM of Fractions for 32/300, 38/715, 351/487 is 213408.