Least Common Multiple of 300/46, 641/32, 718/82

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/46, 641/32, 718/82 quickly i.e. 34517850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/46, 641/32, 718/82 is 34517850.

LCM(300/46, 641/32, 718/82) = 34517850

LCM of 300/46, 641/32, 718/82

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 300/46,641/32,718/82

Given numbers are 300/46,641/32,718/82

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 300,641,718

Least Common Multiple of Numerators i.e. LCM of 300,641,718 is 69035700.

GCF of Denominators means GCF of 46,32,82 as per the given fractions.

GCF of 46,32,82 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,641,718

LCM of Fractions 300/46,641/32,718/82 is 34517850

2 300, 641, 718
150, 641, 359

∴ So the LCM of the given numbers is 2 x 150 x 641 x 359 = 69035700

Least Common Multiple of 300,641,718 with GCF Formula

Least Common Multiple of 300,641,718 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 300,641,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,641,718) = 1

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

GCF(300,641,718) x common factors =1 x 2 = 2

LCM(300,641,718) = ( 300 × 641 × 718 ) / 2

LCM(300,641,718) = 138071400 / 2

LCM(300,641,718) = 69035700


Lets's calculate GCF of 46,32,82

2 46, 32, 82
23, 16, 41

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69035700/2

Therefore the LCM of Fractions 300/46,641/32,718/82 is 34517850

Greatest Common Factor of 46,32,82 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,32,82 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Greatest Common Factor

We found the factors 46,32,82 . The biggest common factor number is the GCF number.
So the greatest common factor 46,32,82 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 300/46, 641/32, 718/82

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 300/46, 641/32, 718/82?

Answer: LCM of Numerators as per given numbers 300/46, 641/32, 718/82 is

LCM of Numerators i.e. for 300,641,718 is 69035700

GCF of denominators i.e. for 46,32,82 is 2.

Thus, LCM of Fractions is 34517850.Finally, LCM of Fractions for 300/46, 641/32, 718/82 is 34517850.