Least Common Multiple of 38/305, 67/421, 469/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/305, 67/421, 469/334 quickly i.e. 17822 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/305, 67/421, 469/334 is 17822.

LCM(38/305, 67/421, 469/334) = 17822

LCM of 38/305, 67/421, 469/334

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 38/305,67/421,469/334

Given numbers are 38/305,67/421,469/334

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 38,67,469

Least Common Multiple of Numerators i.e. LCM of 38,67,469 is 17822.

GCF of Denominators means GCF of 305,421,334 as per the given fractions.

GCF of 305,421,334 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,67,469

LCM of Fractions 38/305,67/421,469/334 is 17822

67 38, 67, 469
38, 1, 7

∴ So the LCM of the given numbers is 67 x 38 x 1 x 7 = 17822

Least Common Multiple of 38,67,469 with GCF Formula

Least Common Multiple of 38,67,469 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 38,67,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,67,469) = 1

common factors(in case of two or more numbers have common factors) = 67

GCF(38,67,469) x common factors =1 x 67 = 67

LCM(38,67,469) = ( 38 × 67 × 469 ) / 67

LCM(38,67,469) = 1194074 / 67

LCM(38,67,469) = 17822


Lets's calculate GCF of 305,421,334

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17822/1

Therefore the LCM of Fractions 38/305,67/421,469/334 is 17822

Greatest Common Factor of 305,421,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 305,421,334 By Matching Biggest Common Factor Method

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Factors of 421

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

1,421

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 305,421,334 . The biggest common factor number is the GCF number.
So the greatest common factor 305,421,334 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 38/305, 67/421, 469/334

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 38/305, 67/421, 469/334?

Answer: LCM of Numerators as per given numbers 38/305, 67/421, 469/334 is

LCM of Numerators i.e. for 38,67,469 is 17822

GCF of denominators i.e. for 305,421,334 is 1.

Thus, LCM of Fractions is 17822.Finally, LCM of Fractions for 38/305, 67/421, 469/334 is 17822.