Least Common Multiple of 4803/414, 5171/1392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4803/414, 5171/1392 quickly i.e. 24836313/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4803/414, 5171/1392 is 24836313/6.

LCM(4803/414, 5171/1392) = 24836313/6

LCM of 4803/414, 5171/1392

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 4803/414,5171/1392

Given numbers are 4803/414,5171/1392

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 4803,5171

Least Common Multiple of Numerators i.e. LCM of 4803,5171 is 24836313.

GCF of Denominators means GCF of 414,1392 as per the given fractions.

GCF of 414,1392 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4803,5171

LCM of Fractions 4803/414,5171/1392 is 24836313/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 24836313

Least Common Multiple of 4803,5171 with GCF Formula

Least Common Multiple of 4803,5171 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 4803,5171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4803,5171) = 1

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

GCF(4803,5171) x common factors =1 x 1 = 1

LCM(4803,5171) = ( 4803 × 5171 ) / 1

LCM(4803,5171) = 24836313 / 1

LCM(4803,5171) = 24836313


Lets's calculate GCF of 414,1392

2 414, 1392
3 207, 696
69, 232

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24836313/6

Therefore the LCM of Fractions 4803/414,5171/1392 is 24836313/6

Greatest Common Factor of 414,1392 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,1392 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 1392

List of positive integer factors of 1392 that divides 1392 without a remainder.

1,2,3,4,6,8,12,16,24,29,48,58,87,116,174,232,348,464,696,1392

Greatest Common Factor

We found the factors 414,1392 . The biggest common factor number is the GCF number.
So the greatest common factor 414,1392 is 6.


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 4803/414, 5171/1392

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 4803/414, 5171/1392?

Answer: LCM of Numerators as per given numbers 4803/414, 5171/1392 is

LCM of Numerators i.e. for 4803,5171 is 24836313

GCF of denominators i.e. for 414,1392 is 6.

Thus, LCM of Fractions is 24836313/6.Finally, LCM of Fractions for 4803/414, 5171/1392 is 24836313/6.