Least Common Multiple of 19/480, 9429/7314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/480, 9429/7314 quickly i.e. 179151/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/480, 9429/7314 is 179151/6.

LCM(19/480, 9429/7314) = 179151/6

LCM of 19/480, 9429/7314

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 19/480,9429/7314

Given numbers are 19/480,9429/7314

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 19,9429

Least Common Multiple of Numerators i.e. LCM of 19,9429 is 179151.

GCF of Denominators means GCF of 480,7314 as per the given fractions.

GCF of 480,7314 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,9429

LCM of Fractions 19/480,9429/7314 is 179151/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 179151

Least Common Multiple of 19,9429 with GCF Formula

Least Common Multiple of 19,9429 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 19,9429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,9429) = 1

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

GCF(19,9429) x common factors =1 x 1 = 1

LCM(19,9429) = ( 19 × 9429 ) / 1

LCM(19,9429) = 179151 / 1

LCM(19,9429) = 179151


Lets's calculate GCF of 480,7314

2 480, 7314
3 240, 3657
80, 1219

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 179151/6

Therefore the LCM of Fractions 19/480,9429/7314 is 179151/6

Greatest Common Factor of 480,7314 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,7314 By Matching Biggest Common Factor Method

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 7314

List of positive integer factors of 7314 that divides 7314 without a remainder.

1,2,3,6,23,46,53,69,106,138,159,318,1219,2438,3657,7314

Greatest Common Factor

We found the factors 480,7314 . The biggest common factor number is the GCF number.
So the greatest common factor 480,7314 is 6.


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 19/480, 9429/7314

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 19/480, 9429/7314?

Answer: LCM of Numerators as per given numbers 19/480, 9429/7314 is

LCM of Numerators i.e. for 19,9429 is 179151

GCF of denominators i.e. for 480,7314 is 6.

Thus, LCM of Fractions is 179151/6.Finally, LCM of Fractions for 19/480, 9429/7314 is 179151/6.