Least Common Multiple of 453/66, 105/69, 463/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 453/66, 105/69, 463/496 quickly i.e. 7340865 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 453/66, 105/69, 463/496 is 7340865.

LCM(453/66, 105/69, 463/496) = 7340865

LCM of 453/66, 105/69, 463/496

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 453/66,105/69,463/496

Given numbers are 453/66,105/69,463/496

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 453,105,463

Least Common Multiple of Numerators i.e. LCM of 453,105,463 is 7340865.

GCF of Denominators means GCF of 66,69,496 as per the given fractions.

GCF of 66,69,496 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 453,105,463

LCM of Fractions 453/66,105/69,463/496 is 7340865

3 453, 105, 463
151, 35, 463

∴ So the LCM of the given numbers is 3 x 151 x 35 x 463 = 7340865

Least Common Multiple of 453,105,463 with GCF Formula

Least Common Multiple of 453,105,463 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 453,105,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(453,105,463) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(453,105,463) x common factors =1 x 3 = 3

LCM(453,105,463) = ( 453 × 105 × 463 ) / 3

LCM(453,105,463) = 22022595 / 3

LCM(453,105,463) = 7340865


Lets's calculate GCF of 66,69,496

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7340865/1

Therefore the LCM of Fractions 453/66,105/69,463/496 is 7340865

Greatest Common Factor of 66,69,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,69,496 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 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 66,69,496 . The biggest common factor number is the GCF number.
So the greatest common factor 66,69,496 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 453/66, 105/69, 463/496

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 453/66, 105/69, 463/496?

Answer: LCM of Numerators as per given numbers 453/66, 105/69, 463/496 is

LCM of Numerators i.e. for 453,105,463 is 7340865

GCF of denominators i.e. for 66,69,496 is 1.

Thus, LCM of Fractions is 7340865.Finally, LCM of Fractions for 453/66, 105/69, 463/496 is 7340865.