Least Common Multiple of 53/66, 473/81, 204/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/66, 473/81, 204/784 quickly i.e. 5114076 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/66, 473/81, 204/784 is 5114076.

LCM(53/66, 473/81, 204/784) = 5114076

LCM of 53/66, 473/81, 204/784

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 53/66,473/81,204/784

Given numbers are 53/66,473/81,204/784

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 53,473,204

Least Common Multiple of Numerators i.e. LCM of 53,473,204 is 5114076.

GCF of Denominators means GCF of 66,81,784 as per the given fractions.

GCF of 66,81,784 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,473,204

LCM of Fractions 53/66,473/81,204/784 is 5114076

Given numbers has no common factors except 1. So, there LCM is their product i.e 5114076

Least Common Multiple of 53,473,204 with GCF Formula

Least Common Multiple of 53,473,204 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 53,473,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,473,204) = 1

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

GCF(53,473,204) x common factors =1 x 1 = 1

LCM(53,473,204) = ( 53 × 473 × 204 ) / 1

LCM(53,473,204) = 5114076 / 1

LCM(53,473,204) = 5114076


Lets's calculate GCF of 66,81,784

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5114076/1

Therefore the LCM of Fractions 53/66,473/81,204/784 is 5114076

Greatest Common Factor of 66,81,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,81,784 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 66,81,784 . The biggest common factor number is the GCF number.
So the greatest common factor 66,81,784 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 53/66, 473/81, 204/784

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 53/66, 473/81, 204/784?

Answer: LCM of Numerators as per given numbers 53/66, 473/81, 204/784 is

LCM of Numerators i.e. for 53,473,204 is 5114076

GCF of denominators i.e. for 66,81,784 is 1.

Thus, LCM of Fractions is 5114076.Finally, LCM of Fractions for 53/66, 473/81, 204/784 is 5114076.