Least Common Multiple of 816/83, 143/24, 338/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 816/83, 143/24, 338/456 quickly i.e. 1516944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 816/83, 143/24, 338/456 is 1516944.

LCM(816/83, 143/24, 338/456) = 1516944

LCM of 816/83, 143/24, 338/456

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 816/83,143/24,338/456

Given numbers are 816/83,143/24,338/456

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 816,143,338

Least Common Multiple of Numerators i.e. LCM of 816,143,338 is 1516944.

GCF of Denominators means GCF of 83,24,456 as per the given fractions.

GCF of 83,24,456 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 816,143,338

LCM of Fractions 816/83,143/24,338/456 is 1516944

2 816, 143, 338
13 408, 143, 169
408, 11, 13

∴ So the LCM of the given numbers is 2 x 13 x 408 x 11 x 13 = 1516944

Least Common Multiple of 816,143,338 with GCF Formula

Least Common Multiple of 816,143,338 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 816,143,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(816,143,338) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(816,143,338) x common factors =1 x 26 = 26

LCM(816,143,338) = ( 816 × 143 × 338 ) / 26

LCM(816,143,338) = 39440544 / 26

LCM(816,143,338) = 1516944


Lets's calculate GCF of 83,24,456

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1516944/1

Therefore the LCM of Fractions 816/83,143/24,338/456 is 1516944

Greatest Common Factor of 83,24,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,24,456 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 83,24,456 . The biggest common factor number is the GCF number.
So the greatest common factor 83,24,456 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 816/83, 143/24, 338/456

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 816/83, 143/24, 338/456?

Answer: LCM of Numerators as per given numbers 816/83, 143/24, 338/456 is

LCM of Numerators i.e. for 816,143,338 is 1516944

GCF of denominators i.e. for 83,24,456 is 1.

Thus, LCM of Fractions is 1516944.Finally, LCM of Fractions for 816/83, 143/24, 338/456 is 1516944.