Least Common Multiple of 9424/480, 1144/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9424/480, 1144/272 quickly i.e. 84227 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9424/480, 1144/272 is 84227.

LCM(9424/480, 1144/272) = 84227

LCM of 9424/480, 1144/272

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 9424/480,1144/272

Given numbers are 9424/480,1144/272

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 9424,1144

Least Common Multiple of Numerators i.e. LCM of 9424,1144 is 1347632.

GCF of Denominators means GCF of 480,272 as per the given fractions.

GCF of 480,272 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9424,1144

LCM of Fractions 9424/480,1144/272 is 84227

2 9424, 1144
2 4712, 572
2 2356, 286
1178, 143

∴ So the LCM of the given numbers is 2 x 2 x 2 x 1178 x 143 = 1347632

Least Common Multiple of 9424,1144 with GCF Formula

Least Common Multiple of 9424,1144 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 9424,1144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9424,1144) = 8

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

GCF(9424,1144) x common factors =8 x 1 = 8

LCM(9424,1144) = ( 9424 × 1144 ) / 8

LCM(9424,1144) = 10781056 / 8

LCM(9424,1144) = 1347632


Lets's calculate GCF of 480,272

2 480, 272
2 240, 136
2 120, 68
2 60, 34
30, 17

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1347632/16

Therefore the LCM of Fractions 9424/480,1144/272 is 84227

Greatest Common Factor of 480,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,272 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 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 480,272 . The biggest common factor number is the GCF number.
So the greatest common factor 480,272 is 16.


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 9424/480, 1144/272

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 9424/480, 1144/272?

Answer: LCM of Numerators as per given numbers 9424/480, 1144/272 is

LCM of Numerators i.e. for 9424,1144 is 1347632

GCF of denominators i.e. for 480,272 is 16.

Thus, LCM of Fractions is 84227.Finally, LCM of Fractions for 9424/480, 1144/272 is 84227.