Least Common Multiple of 417/19, 533/10, 332/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 417/19, 533/10, 332/418 quickly i.e. 73790652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 417/19, 533/10, 332/418 is 73790652.

LCM(417/19, 533/10, 332/418) = 73790652

LCM of 417/19, 533/10, 332/418

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 417/19,533/10,332/418

Given numbers are 417/19,533/10,332/418

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 417,533,332

Least Common Multiple of Numerators i.e. LCM of 417,533,332 is 73790652.

GCF of Denominators means GCF of 19,10,418 as per the given fractions.

GCF of 19,10,418 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 417,533,332

LCM of Fractions 417/19,533/10,332/418 is 73790652

Given numbers has no common factors except 1. So, there LCM is their product i.e 73790652

Least Common Multiple of 417,533,332 with GCF Formula

Least Common Multiple of 417,533,332 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 417,533,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(417,533,332) = 1

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

GCF(417,533,332) x common factors =1 x 1 = 1

LCM(417,533,332) = ( 417 × 533 × 332 ) / 1

LCM(417,533,332) = 73790652 / 1

LCM(417,533,332) = 73790652


Lets's calculate GCF of 19,10,418

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73790652/1

Therefore the LCM of Fractions 417/19,533/10,332/418 is 73790652

Greatest Common Factor of 19,10,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,10,418 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 19,10,418 . The biggest common factor number is the GCF number.
So the greatest common factor 19,10,418 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 417/19, 533/10, 332/418

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 417/19, 533/10, 332/418?

Answer: LCM of Numerators as per given numbers 417/19, 533/10, 332/418 is

LCM of Numerators i.e. for 417,533,332 is 73790652

GCF of denominators i.e. for 19,10,418 is 1.

Thus, LCM of Fractions is 73790652.Finally, LCM of Fractions for 417/19, 533/10, 332/418 is 73790652.