Least Common Multiple of 3/38, 9/46, 14/21, 78/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/38, 9/46, 14/21, 78/322 quickly i.e. 1638 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/38, 9/46, 14/21, 78/322 is 1638.

LCM(3/38, 9/46, 14/21, 78/322) = 1638

LCM of 3/38, 9/46, 14/21, 78/322

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 3/38,9/46,14/21,78/322

Given numbers are 3/38,9/46,14/21,78/322

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 3,9,14,78

Least Common Multiple of Numerators i.e. LCM of 3,9,14,78 is 1638.

GCF of Denominators means GCF of 38,46,21,322 as per the given fractions.

GCF of 38,46,21,322 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,9,14,78

LCM of Fractions 3/38,9/46,14/21,78/322 is 1638

2 3, 9, 14, 78
3 3, 9, 7, 39
1, 3, 7, 13

∴ So the LCM of the given numbers is 2 x 3 x 1 x 3 x 7 x 13 = 1638

Least Common Multiple of 3,9,14,78 with GCF Formula

Least Common Multiple of 3,9,14,78 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 3,9,14,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,9,14,78) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(3,9,14,78) x common factors =1 x 18 = 18

LCM(3,9,14,78) = ( 3 × 9 × 14 × 78 ) / 18

LCM(3,9,14,78) = 29484 / 18

LCM(3,9,14,78) = 1638


Lets's calculate GCF of 38,46,21,322

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1638/1

Therefore the LCM of Fractions 3/38,9/46,14/21,78/322 is 1638

Greatest Common Factor of 38,46,21,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,46,21,322 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 38,46,21,322 . The biggest common factor number is the GCF number.
So the greatest common factor 38,46,21,322 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 3/38, 9/46, 14/21, 78/322

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 3/38, 9/46, 14/21, 78/322?

Answer: LCM of Numerators as per given numbers 3/38, 9/46, 14/21, 78/322 is

LCM of Numerators i.e. for 3,9,14,78 is 1638

GCF of denominators i.e. for 38,46,21,322 is 1.

Thus, LCM of Fractions is 1638.Finally, LCM of Fractions for 3/38, 9/46, 14/21, 78/322 is 1638.