Least Common Multiple of 216/51, 423/4999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 216/51, 423/4999 quickly i.e. 10152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 216/51, 423/4999 is 10152.

LCM(216/51, 423/4999) = 10152

LCM of 216/51, 423/4999

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 216/51,423/4999

Given numbers are 216/51,423/4999

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 216,423

Least Common Multiple of Numerators i.e. LCM of 216,423 is 10152.

GCF of Denominators means GCF of 51,4999 as per the given fractions.

GCF of 51,4999 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 216,423

LCM of Fractions 216/51,423/4999 is 10152

3 216, 423
3 72, 141
24, 47

∴ So the LCM of the given numbers is 3 x 3 x 24 x 47 = 10152

Least Common Multiple of 216,423 with GCF Formula

Least Common Multiple of 216,423 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 216,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,423) = 9

common factors(in case of two or more numbers have common factors) = 1

GCF(216,423) x common factors =9 x 1 = 9

LCM(216,423) = ( 216 × 423 ) / 9

LCM(216,423) = 91368 / 9

LCM(216,423) = 10152


Lets's calculate GCF of 51,4999

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10152/1

Therefore the LCM of Fractions 216/51,423/4999 is 10152

Greatest Common Factor of 51,4999 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,4999 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 4999

List of positive integer factors of 4999 that divides 4999 without a remainder.

1,4999

Greatest Common Factor

We found the factors 51,4999 . The biggest common factor number is the GCF number.
So the greatest common factor 51,4999 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 216/51, 423/4999

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 216/51, 423/4999?

Answer: LCM of Numerators as per given numbers 216/51, 423/4999 is

LCM of Numerators i.e. for 216,423 is 10152

GCF of denominators i.e. for 51,4999 is 1.

Thus, LCM of Fractions is 10152.Finally, LCM of Fractions for 216/51, 423/4999 is 10152.