Least Common Multiple of 417/52, 1096/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 417/52, 1096/480 quickly i.e. 114258 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 417/52, 1096/480 is 114258.

LCM(417/52, 1096/480) = 114258

LCM of 417/52, 1096/480

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 417/52,1096/480

Given numbers are 417/52,1096/480

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 417,1096

Least Common Multiple of Numerators i.e. LCM of 417,1096 is 457032.

GCF of Denominators means GCF of 52,480 as per the given fractions.

GCF of 52,480 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 417,1096

LCM of Fractions 417/52,1096/480 is 114258

Given numbers has no common factors except 1. So, there LCM is their product i.e 457032

Least Common Multiple of 417,1096 with GCF Formula

Least Common Multiple of 417,1096 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 417,1096 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(417,1096) = 1

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

GCF(417,1096) x common factors =1 x 1 = 1

LCM(417,1096) = ( 417 × 1096 ) / 1

LCM(417,1096) = 457032 / 1

LCM(417,1096) = 457032


Lets's calculate GCF of 52,480

2 52, 480
2 26, 240
13, 120

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 457032/4

Therefore the LCM of Fractions 417/52,1096/480 is 114258

Greatest Common Factor of 52,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,480 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

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

Greatest Common Factor

We found the factors 52,480 . The biggest common factor number is the GCF number.
So the greatest common factor 52,480 is 4.


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 417/52, 1096/480

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 417/52, 1096/480?

Answer: LCM of Numerators as per given numbers 417/52, 1096/480 is

LCM of Numerators i.e. for 417,1096 is 457032

GCF of denominators i.e. for 52,480 is 4.

Thus, LCM of Fractions is 114258.Finally, LCM of Fractions for 417/52, 1096/480 is 114258.