Least Common Multiple of 459/39, 163/1144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 459/39, 163/1144 quickly i.e. 74817/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 459/39, 163/1144 is 74817/13.

LCM(459/39, 163/1144) = 74817/13

LCM of 459/39, 163/1144

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 459/39,163/1144

Given numbers are 459/39,163/1144

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 459,163

Least Common Multiple of Numerators i.e. LCM of 459,163 is 74817.

GCF of Denominators means GCF of 39,1144 as per the given fractions.

GCF of 39,1144 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 459,163

LCM of Fractions 459/39,163/1144 is 74817/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 74817

Least Common Multiple of 459,163 with GCF Formula

Least Common Multiple of 459,163 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 459,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(459,163) = 1

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

GCF(459,163) x common factors =1 x 1 = 1

LCM(459,163) = ( 459 × 163 ) / 1

LCM(459,163) = 74817 / 1

LCM(459,163) = 74817


Lets's calculate GCF of 39,1144

13 39, 1144
3, 88

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74817/13

Therefore the LCM of Fractions 459/39,163/1144 is 74817/13

Greatest Common Factor of 39,1144 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,1144 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 1144

List of positive integer factors of 1144 that divides 1144 without a remainder.

1,2,4,8,11,13,22,26,44,52,88,104,143,286,572,1144

Greatest Common Factor

We found the factors 39,1144 . The biggest common factor number is the GCF number.
So the greatest common factor 39,1144 is 13.


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 459/39, 163/1144

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 459/39, 163/1144?

Answer: LCM of Numerators as per given numbers 459/39, 163/1144 is

LCM of Numerators i.e. for 459,163 is 74817

GCF of denominators i.e. for 39,1144 is 13.

Thus, LCM of Fractions is 74817/13.Finally, LCM of Fractions for 459/39, 163/1144 is 74817/13.