Least Common Multiple of 480/22, 457/3223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 480/22, 457/3223 quickly i.e. 219360/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 480/22, 457/3223 is 219360/11.

LCM(480/22, 457/3223) = 219360/11

LCM of 480/22, 457/3223

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 480/22,457/3223

Given numbers are 480/22,457/3223

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 480,457

Least Common Multiple of Numerators i.e. LCM of 480,457 is 219360.

GCF of Denominators means GCF of 22,3223 as per the given fractions.

GCF of 22,3223 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 480,457

LCM of Fractions 480/22,457/3223 is 219360/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 219360

Least Common Multiple of 480,457 with GCF Formula

Least Common Multiple of 480,457 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 480,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,457) = 1

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

GCF(480,457) x common factors =1 x 1 = 1

LCM(480,457) = ( 480 × 457 ) / 1

LCM(480,457) = 219360 / 1

LCM(480,457) = 219360


Lets's calculate GCF of 22,3223

11 22, 3223
2, 293

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 219360/11

Therefore the LCM of Fractions 480/22,457/3223 is 219360/11

Greatest Common Factor of 22,3223 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,3223 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 3223

List of positive integer factors of 3223 that divides 3223 without a remainder.

1,11,293,3223

Greatest Common Factor

We found the factors 22,3223 . The biggest common factor number is the GCF number.
So the greatest common factor 22,3223 is 11.


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 480/22, 457/3223

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 480/22, 457/3223?

Answer: LCM of Numerators as per given numbers 480/22, 457/3223 is

LCM of Numerators i.e. for 480,457 is 219360

GCF of denominators i.e. for 22,3223 is 11.

Thus, LCM of Fractions is 219360/11.Finally, LCM of Fractions for 480/22, 457/3223 is 219360/11.