Least Common Multiple of 5/463, 99/102, 54/389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5/463, 99/102, 54/389 quickly i.e. 2970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5/463, 99/102, 54/389 is 2970.

LCM(5/463, 99/102, 54/389) = 2970

LCM of 5/463, 99/102, 54/389

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 5/463,99/102,54/389

Given numbers are 5/463,99/102,54/389

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 5,99,54

Least Common Multiple of Numerators i.e. LCM of 5,99,54 is 2970.

GCF of Denominators means GCF of 463,102,389 as per the given fractions.

GCF of 463,102,389 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5,99,54

LCM of Fractions 5/463,99/102,54/389 is 2970

3 5, 99, 54
3 5, 33, 18
5, 11, 6

∴ So the LCM of the given numbers is 3 x 3 x 5 x 11 x 6 = 2970

Least Common Multiple of 5,99,54 with GCF Formula

Least Common Multiple of 5,99,54 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 5,99,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5,99,54) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(5,99,54) x common factors =1 x 9 = 9

LCM(5,99,54) = ( 5 × 99 × 54 ) / 9

LCM(5,99,54) = 26730 / 9

LCM(5,99,54) = 2970


Lets's calculate GCF of 463,102,389

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2970/1

Therefore the LCM of Fractions 5/463,99/102,54/389 is 2970

Greatest Common Factor of 463,102,389 By Matching Biggest Common Factor Method

Greatest Common Factor of 463,102,389 By Matching Biggest Common Factor Method

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Greatest Common Factor

We found the factors 463,102,389 . The biggest common factor number is the GCF number.
So the greatest common factor 463,102,389 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 5/463, 99/102, 54/389

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 5/463, 99/102, 54/389?

Answer: LCM of Numerators as per given numbers 5/463, 99/102, 54/389 is

LCM of Numerators i.e. for 5,99,54 is 2970

GCF of denominators i.e. for 463,102,389 is 1.

Thus, LCM of Fractions is 2970.Finally, LCM of Fractions for 5/463, 99/102, 54/389 is 2970.