Least Common Multiple of 682/330, 450/515, 264/541

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 682/330, 450/515, 264/541 quickly i.e. 613800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 682/330, 450/515, 264/541 is 613800.

LCM(682/330, 450/515, 264/541) = 613800

LCM of 682/330, 450/515, 264/541

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 682/330,450/515,264/541

Given numbers are 682/330,450/515,264/541

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 682,450,264

Least Common Multiple of Numerators i.e. LCM of 682,450,264 is 613800.

GCF of Denominators means GCF of 330,515,541 as per the given fractions.

GCF of 330,515,541 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 682,450,264

LCM of Fractions 682/330,450/515,264/541 is 613800

2 682, 450, 264
3 341, 225, 132
11 341, 75, 44
31, 75, 4

∴ So the LCM of the given numbers is 2 x 3 x 11 x 31 x 75 x 4 = 613800

Least Common Multiple of 682,450,264 with GCF Formula

Least Common Multiple of 682,450,264 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 682,450,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,450,264) = 2

common factors(in case of two or more numbers have common factors) = 66

GCF(682,450,264) x common factors =2 x 66 = 132

LCM(682,450,264) = ( 682 × 450 × 264 ) / 132

LCM(682,450,264) = 81021600 / 132

LCM(682,450,264) = 613800


Lets's calculate GCF of 330,515,541

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 613800/1

Therefore the LCM of Fractions 682/330,450/515,264/541 is 613800

Greatest Common Factor of 330,515,541 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,515,541 By Matching Biggest Common Factor Method

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Greatest Common Factor

We found the factors 330,515,541 . The biggest common factor number is the GCF number.
So the greatest common factor 330,515,541 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 682/330, 450/515, 264/541

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 682/330, 450/515, 264/541?

Answer: LCM of Numerators as per given numbers 682/330, 450/515, 264/541 is

LCM of Numerators i.e. for 682,450,264 is 613800

GCF of denominators i.e. for 330,515,541 is 1.

Thus, LCM of Fractions is 613800.Finally, LCM of Fractions for 682/330, 450/515, 264/541 is 613800.