Least Common Multiple of 5603/45, 6591/575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5603/45, 6591/575 quickly i.e. 2840721/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5603/45, 6591/575 is 2840721/5.

LCM(5603/45, 6591/575) = 2840721/5

LCM of 5603/45, 6591/575

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 5603/45,6591/575

Given numbers are 5603/45,6591/575

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 5603,6591

Least Common Multiple of Numerators i.e. LCM of 5603,6591 is 2840721.

GCF of Denominators means GCF of 45,575 as per the given fractions.

GCF of 45,575 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5603,6591

LCM of Fractions 5603/45,6591/575 is 2840721/5

13 5603, 6591
431, 507

∴ So the LCM of the given numbers is 13 x 431 x 507 = 2840721

Least Common Multiple of 5603,6591 with GCF Formula

Least Common Multiple of 5603,6591 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 5603,6591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5603,6591) = 13

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

GCF(5603,6591) x common factors =13 x 1 = 13

LCM(5603,6591) = ( 5603 × 6591 ) / 13

LCM(5603,6591) = 36929373 / 13

LCM(5603,6591) = 2840721


Lets's calculate GCF of 45,575

5 45, 575
9, 115

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2840721/5

Therefore the LCM of Fractions 5603/45,6591/575 is 2840721/5

Greatest Common Factor of 45,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,575 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 45,575 . The biggest common factor number is the GCF number.
So the greatest common factor 45,575 is 5.


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 5603/45, 6591/575

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 5603/45, 6591/575?

Answer: LCM of Numerators as per given numbers 5603/45, 6591/575 is

LCM of Numerators i.e. for 5603,6591 is 2840721

GCF of denominators i.e. for 45,575 is 5.

Thus, LCM of Fractions is 2840721/5.Finally, LCM of Fractions for 5603/45, 6591/575 is 2840721/5.