Least Common Multiple of 533/25, 612/16, 821/499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 533/25, 612/16, 821/499 quickly i.e. 267806916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 533/25, 612/16, 821/499 is 267806916.

LCM(533/25, 612/16, 821/499) = 267806916

LCM of 533/25, 612/16, 821/499

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 533/25,612/16,821/499

Given numbers are 533/25,612/16,821/499

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 533,612,821

Least Common Multiple of Numerators i.e. LCM of 533,612,821 is 267806916.

GCF of Denominators means GCF of 25,16,499 as per the given fractions.

GCF of 25,16,499 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 533,612,821

LCM of Fractions 533/25,612/16,821/499 is 267806916

Given numbers has no common factors except 1. So, there LCM is their product i.e 267806916

Least Common Multiple of 533,612,821 with GCF Formula

Least Common Multiple of 533,612,821 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 533,612,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(533,612,821) = 1

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

GCF(533,612,821) x common factors =1 x 1 = 1

LCM(533,612,821) = ( 533 × 612 × 821 ) / 1

LCM(533,612,821) = 267806916 / 1

LCM(533,612,821) = 267806916


Lets's calculate GCF of 25,16,499

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 267806916/1

Therefore the LCM of Fractions 533/25,612/16,821/499 is 267806916

Greatest Common Factor of 25,16,499 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,16,499 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Greatest Common Factor

We found the factors 25,16,499 . The biggest common factor number is the GCF number.
So the greatest common factor 25,16,499 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 533/25, 612/16, 821/499

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 533/25, 612/16, 821/499?

Answer: LCM of Numerators as per given numbers 533/25, 612/16, 821/499 is

LCM of Numerators i.e. for 533,612,821 is 267806916

GCF of denominators i.e. for 25,16,499 is 1.

Thus, LCM of Fractions is 267806916.Finally, LCM of Fractions for 533/25, 612/16, 821/499 is 267806916.