Least Common Multiple of 17/421, 66/732, 638/150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/421, 66/732, 638/150 quickly i.e. 32538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/421, 66/732, 638/150 is 32538.

LCM(17/421, 66/732, 638/150) = 32538

LCM of 17/421, 66/732, 638/150

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 17/421,66/732,638/150

Given numbers are 17/421,66/732,638/150

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 17,66,638

Least Common Multiple of Numerators i.e. LCM of 17,66,638 is 32538.

GCF of Denominators means GCF of 421,732,150 as per the given fractions.

GCF of 421,732,150 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,66,638

LCM of Fractions 17/421,66/732,638/150 is 32538

2 17, 66, 638
11 17, 33, 319
17, 3, 29

∴ So the LCM of the given numbers is 2 x 11 x 17 x 3 x 29 = 32538

Least Common Multiple of 17,66,638 with GCF Formula

Least Common Multiple of 17,66,638 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 17,66,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,66,638) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(17,66,638) x common factors =1 x 22 = 22

LCM(17,66,638) = ( 17 × 66 × 638 ) / 22

LCM(17,66,638) = 715836 / 22

LCM(17,66,638) = 32538


Lets's calculate GCF of 421,732,150

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32538/1

Therefore the LCM of Fractions 17/421,66/732,638/150 is 32538

Greatest Common Factor of 421,732,150 By Matching Biggest Common Factor Method

Greatest Common Factor of 421,732,150 By Matching Biggest Common Factor Method

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Greatest Common Factor

We found the factors 421,732,150 . The biggest common factor number is the GCF number.
So the greatest common factor 421,732,150 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 17/421, 66/732, 638/150

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 17/421, 66/732, 638/150?

Answer: LCM of Numerators as per given numbers 17/421, 66/732, 638/150 is

LCM of Numerators i.e. for 17,66,638 is 32538

GCF of denominators i.e. for 421,732,150 is 1.

Thus, LCM of Fractions is 32538.Finally, LCM of Fractions for 17/421, 66/732, 638/150 is 32538.