Least Common Multiple of 53/340, 33/494, 420/463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/340, 33/494, 420/463 quickly i.e. 244860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/340, 33/494, 420/463 is 244860.

LCM(53/340, 33/494, 420/463) = 244860

LCM of 53/340, 33/494, 420/463

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 53/340,33/494,420/463

Given numbers are 53/340,33/494,420/463

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 53,33,420

Least Common Multiple of Numerators i.e. LCM of 53,33,420 is 244860.

GCF of Denominators means GCF of 340,494,463 as per the given fractions.

GCF of 340,494,463 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,33,420

LCM of Fractions 53/340,33/494,420/463 is 244860

3 53, 33, 420
53, 11, 140

∴ So the LCM of the given numbers is 3 x 53 x 11 x 140 = 244860

Least Common Multiple of 53,33,420 with GCF Formula

Least Common Multiple of 53,33,420 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 53,33,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,33,420) = 1

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

GCF(53,33,420) x common factors =1 x 3 = 3

LCM(53,33,420) = ( 53 × 33 × 420 ) / 3

LCM(53,33,420) = 734580 / 3

LCM(53,33,420) = 244860


Lets's calculate GCF of 340,494,463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 244860/1

Therefore the LCM of Fractions 53/340,33/494,420/463 is 244860

Greatest Common Factor of 340,494,463 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,494,463 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Greatest Common Factor

We found the factors 340,494,463 . The biggest common factor number is the GCF number.
So the greatest common factor 340,494,463 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 53/340, 33/494, 420/463

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 53/340, 33/494, 420/463?

Answer: LCM of Numerators as per given numbers 53/340, 33/494, 420/463 is

LCM of Numerators i.e. for 53,33,420 is 244860

GCF of denominators i.e. for 340,494,463 is 1.

Thus, LCM of Fractions is 244860.Finally, LCM of Fractions for 53/340, 33/494, 420/463 is 244860.