Least Common Multiple of 50/325, 87/205, 486/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/325, 87/205, 486/264 quickly i.e. 352350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/325, 87/205, 486/264 is 352350.

LCM(50/325, 87/205, 486/264) = 352350

LCM of 50/325, 87/205, 486/264

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 50/325,87/205,486/264

Given numbers are 50/325,87/205,486/264

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 50,87,486

Least Common Multiple of Numerators i.e. LCM of 50,87,486 is 352350.

GCF of Denominators means GCF of 325,205,264 as per the given fractions.

GCF of 325,205,264 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,87,486

LCM of Fractions 50/325,87/205,486/264 is 352350

2 50, 87, 486
3 25, 87, 243
25, 29, 81

∴ So the LCM of the given numbers is 2 x 3 x 25 x 29 x 81 = 352350

Least Common Multiple of 50,87,486 with GCF Formula

Least Common Multiple of 50,87,486 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 50,87,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,87,486) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(50,87,486) x common factors =1 x 6 = 6

LCM(50,87,486) = ( 50 × 87 × 486 ) / 6

LCM(50,87,486) = 2114100 / 6

LCM(50,87,486) = 352350


Lets's calculate GCF of 325,205,264

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 352350/1

Therefore the LCM of Fractions 50/325,87/205,486/264 is 352350

Greatest Common Factor of 325,205,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 325,205,264 By Matching Biggest Common Factor Method

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 325,205,264 . The biggest common factor number is the GCF number.
So the greatest common factor 325,205,264 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 50/325, 87/205, 486/264

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 50/325, 87/205, 486/264?

Answer: LCM of Numerators as per given numbers 50/325, 87/205, 486/264 is

LCM of Numerators i.e. for 50,87,486 is 352350

GCF of denominators i.e. for 325,205,264 is 1.

Thus, LCM of Fractions is 352350.Finally, LCM of Fractions for 50/325, 87/205, 486/264 is 352350.