Least Common Multiple of 1463/459, 4138/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1463/459, 4138/108 quickly i.e. 6053894/27 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1463/459, 4138/108 is 6053894/27.

LCM(1463/459, 4138/108) = 6053894/27

LCM of 1463/459, 4138/108

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 1463/459,4138/108

Given numbers are 1463/459,4138/108

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 1463,4138

Least Common Multiple of Numerators i.e. LCM of 1463,4138 is 6053894.

GCF of Denominators means GCF of 459,108 as per the given fractions.

GCF of 459,108 is 27 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1463,4138

LCM of Fractions 1463/459,4138/108 is 6053894/27

Given numbers has no common factors except 1. So, there LCM is their product i.e 6053894

Least Common Multiple of 1463,4138 with GCF Formula

Least Common Multiple of 1463,4138 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 1463,4138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1463,4138) = 1

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

GCF(1463,4138) x common factors =1 x 1 = 1

LCM(1463,4138) = ( 1463 × 4138 ) / 1

LCM(1463,4138) = 6053894 / 1

LCM(1463,4138) = 6053894


Lets's calculate GCF of 459,108

3 459, 108
3 153, 36
3 51, 12
17, 4

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6053894/27

Therefore the LCM of Fractions 1463/459,4138/108 is 6053894/27

Greatest Common Factor of 459,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 459,108 By Matching Biggest Common Factor Method

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 459,108 . The biggest common factor number is the GCF number.
So the greatest common factor 459,108 is 27.


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 1463/459, 4138/108

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 1463/459, 4138/108?

Answer: LCM of Numerators as per given numbers 1463/459, 4138/108 is

LCM of Numerators i.e. for 1463,4138 is 6053894

GCF of denominators i.e. for 459,108 is 27.

Thus, LCM of Fractions is 6053894/27.Finally, LCM of Fractions for 1463/459, 4138/108 is 6053894/27.