Least Common Multiple of 363/732, 4638/1018

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 363/732, 4638/1018 quickly i.e. 280599 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 363/732, 4638/1018 is 280599.

LCM(363/732, 4638/1018) = 280599

LCM of 363/732, 4638/1018

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 363/732,4638/1018

Given numbers are 363/732,4638/1018

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 363,4638

Least Common Multiple of Numerators i.e. LCM of 363,4638 is 561198.

GCF of Denominators means GCF of 732,1018 as per the given fractions.

GCF of 732,1018 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 363,4638

LCM of Fractions 363/732,4638/1018 is 280599

3 363, 4638
121, 1546

∴ So the LCM of the given numbers is 3 x 121 x 1546 = 561198

Least Common Multiple of 363,4638 with GCF Formula

Least Common Multiple of 363,4638 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 363,4638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,4638) = 3

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

GCF(363,4638) x common factors =3 x 1 = 3

LCM(363,4638) = ( 363 × 4638 ) / 3

LCM(363,4638) = 1683594 / 3

LCM(363,4638) = 561198


Lets's calculate GCF of 732,1018

2 732, 1018
366, 509

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 561198/2

Therefore the LCM of Fractions 363/732,4638/1018 is 280599

Greatest Common Factor of 732,1018 By Matching Biggest Common Factor Method

Greatest Common Factor of 732,1018 By Matching Biggest Common Factor Method

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 1018

List of positive integer factors of 1018 that divides 1018 without a remainder.

1,2,509,1018

Greatest Common Factor

We found the factors 732,1018 . The biggest common factor number is the GCF number.
So the greatest common factor 732,1018 is 2.


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 363/732, 4638/1018

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 363/732, 4638/1018?

Answer: LCM of Numerators as per given numbers 363/732, 4638/1018 is

LCM of Numerators i.e. for 363,4638 is 561198

GCF of denominators i.e. for 732,1018 is 2.

Thus, LCM of Fractions is 280599.Finally, LCM of Fractions for 363/732, 4638/1018 is 280599.