Least Common Multiple of 3645/434, 8640/603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3645/434, 8640/603 quickly i.e. 233280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3645/434, 8640/603 is 233280.

LCM(3645/434, 8640/603) = 233280

LCM of 3645/434, 8640/603

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 3645/434,8640/603

Given numbers are 3645/434,8640/603

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 3645,8640

Least Common Multiple of Numerators i.e. LCM of 3645,8640 is 233280.

GCF of Denominators means GCF of 434,603 as per the given fractions.

GCF of 434,603 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3645,8640

LCM of Fractions 3645/434,8640/603 is 233280

3 3645, 8640
3 1215, 2880
3 405, 960
5 135, 320
27, 64

∴ So the LCM of the given numbers is 3 x 3 x 3 x 5 x 27 x 64 = 233280

Least Common Multiple of 3645,8640 with GCF Formula

Least Common Multiple of 3645,8640 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 3645,8640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3645,8640) = 135

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

GCF(3645,8640) x common factors =135 x 1 = 135

LCM(3645,8640) = ( 3645 × 8640 ) / 135

LCM(3645,8640) = 31492800 / 135

LCM(3645,8640) = 233280


Lets's calculate GCF of 434,603

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 233280/1

Therefore the LCM of Fractions 3645/434,8640/603 is 233280

Greatest Common Factor of 434,603 By Matching Biggest Common Factor Method

Greatest Common Factor of 434,603 By Matching Biggest Common Factor Method

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Greatest Common Factor

We found the factors 434,603 . The biggest common factor number is the GCF number.
So the greatest common factor 434,603 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 3645/434, 8640/603

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 3645/434, 8640/603?

Answer: LCM of Numerators as per given numbers 3645/434, 8640/603 is

LCM of Numerators i.e. for 3645,8640 is 233280

GCF of denominators i.e. for 434,603 is 1.

Thus, LCM of Fractions is 233280.Finally, LCM of Fractions for 3645/434, 8640/603 is 233280.