Least Common Multiple of 90/488, 4605/8533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 90/488, 4605/8533 quickly i.e. 27630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/488, 4605/8533 is 27630.

LCM(90/488, 4605/8533) = 27630

LCM of 90/488, 4605/8533

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 90/488,4605/8533

Given numbers are 90/488,4605/8533

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 90,4605

Least Common Multiple of Numerators i.e. LCM of 90,4605 is 27630.

GCF of Denominators means GCF of 488,8533 as per the given fractions.

GCF of 488,8533 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,4605

LCM of Fractions 90/488,4605/8533 is 27630

3 90, 4605
5 30, 1535
6, 307

∴ So the LCM of the given numbers is 3 x 5 x 6 x 307 = 27630

Least Common Multiple of 90,4605 with GCF Formula

Least Common Multiple of 90,4605 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 90,4605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,4605) = 15

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

GCF(90,4605) x common factors =15 x 1 = 15

LCM(90,4605) = ( 90 × 4605 ) / 15

LCM(90,4605) = 414450 / 15

LCM(90,4605) = 27630


Lets's calculate GCF of 488,8533

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27630/1

Therefore the LCM of Fractions 90/488,4605/8533 is 27630

Greatest Common Factor of 488,8533 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,8533 By Matching Biggest Common Factor Method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 8533

List of positive integer factors of 8533 that divides 8533 without a remainder.

1,7,23,53,161,371,1219,8533

Greatest Common Factor

We found the factors 488,8533 . The biggest common factor number is the GCF number.
So the greatest common factor 488,8533 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 90/488, 4605/8533

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 90/488, 4605/8533?

Answer: LCM of Numerators as per given numbers 90/488, 4605/8533 is

LCM of Numerators i.e. for 90,4605 is 27630

GCF of denominators i.e. for 488,8533 is 1.

Thus, LCM of Fractions is 27630.Finally, LCM of Fractions for 90/488, 4605/8533 is 27630.