Least Common Multiple of 9/14, 48/494, 10/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9/14, 48/494, 10/192 quickly i.e. 360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/14, 48/494, 10/192 is 360.

LCM(9/14, 48/494, 10/192) = 360

LCM of 9/14, 48/494, 10/192

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 9/14,48/494,10/192

Given numbers are 9/14,48/494,10/192

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 9,48,10

Least Common Multiple of Numerators i.e. LCM of 9,48,10 is 720.

GCF of Denominators means GCF of 14,494,192 as per the given fractions.

GCF of 14,494,192 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,48,10

LCM of Fractions 9/14,48/494,10/192 is 360

2 9, 48, 10
3 9, 24, 5
3, 8, 5

∴ So the LCM of the given numbers is 2 x 3 x 3 x 8 x 5 = 720

Least Common Multiple of 9,48,10 with GCF Formula

Least Common Multiple of 9,48,10 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 9,48,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,48,10) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(9,48,10) x common factors =1 x 6 = 6

LCM(9,48,10) = ( 9 × 48 × 10 ) / 6

LCM(9,48,10) = 4320 / 6

LCM(9,48,10) = 720


Lets's calculate GCF of 14,494,192

2 14, 494, 192
7, 247, 96

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 720/2

Therefore the LCM of Fractions 9/14,48/494,10/192 is 360

Greatest Common Factor of 14,494,192 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,494,192 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

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 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Greatest Common Factor

We found the factors 14,494,192 . The biggest common factor number is the GCF number.
So the greatest common factor 14,494,192 is 2.


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 9/14, 48/494, 10/192

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 9/14, 48/494, 10/192?

Answer: LCM of Numerators as per given numbers 9/14, 48/494, 10/192 is

LCM of Numerators i.e. for 9,48,10 is 720

GCF of denominators i.e. for 14,494,192 is 2.

Thus, LCM of Fractions is 360.Finally, LCM of Fractions for 9/14, 48/494, 10/192 is 360.