Least Common Multiple of 83/182, 24/216, 819/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/182, 24/216, 819/468 quickly i.e. 271908 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/182, 24/216, 819/468 is 271908.

LCM(83/182, 24/216, 819/468) = 271908

LCM of 83/182, 24/216, 819/468

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 83/182,24/216,819/468

Given numbers are 83/182,24/216,819/468

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 83,24,819

Least Common Multiple of Numerators i.e. LCM of 83,24,819 is 543816.

GCF of Denominators means GCF of 182,216,468 as per the given fractions.

GCF of 182,216,468 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,24,819

LCM of Fractions 83/182,24/216,819/468 is 271908

3 83, 24, 819
83, 8, 273

∴ So the LCM of the given numbers is 3 x 83 x 8 x 273 = 543816

Least Common Multiple of 83,24,819 with GCF Formula

Least Common Multiple of 83,24,819 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 83,24,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,24,819) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(83,24,819) x common factors =1 x 3 = 3

LCM(83,24,819) = ( 83 × 24 × 819 ) / 3

LCM(83,24,819) = 1631448 / 3

LCM(83,24,819) = 543816


Lets's calculate GCF of 182,216,468

2 182, 216, 468
91, 108, 234

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 543816/2

Therefore the LCM of Fractions 83/182,24/216,819/468 is 271908

Greatest Common Factor of 182,216,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 182,216,468 By Matching Biggest Common Factor Method

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 182,216,468 . The biggest common factor number is the GCF number.
So the greatest common factor 182,216,468 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 83/182, 24/216, 819/468

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 83/182, 24/216, 819/468?

Answer: LCM of Numerators as per given numbers 83/182, 24/216, 819/468 is

LCM of Numerators i.e. for 83,24,819 is 543816

GCF of denominators i.e. for 182,216,468 is 2.

Thus, LCM of Fractions is 271908.Finally, LCM of Fractions for 83/182, 24/216, 819/468 is 271908.