Least Common Multiple of 553/328, 4440/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 553/328, 4440/480 quickly i.e. 306915 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 553/328, 4440/480 is 306915.

LCM(553/328, 4440/480) = 306915

LCM of 553/328, 4440/480

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 553/328,4440/480

Given numbers are 553/328,4440/480

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 553,4440

Least Common Multiple of Numerators i.e. LCM of 553,4440 is 2455320.

GCF of Denominators means GCF of 328,480 as per the given fractions.

GCF of 328,480 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 553,4440

LCM of Fractions 553/328,4440/480 is 306915

Given numbers has no common factors except 1. So, there LCM is their product i.e 2455320

Least Common Multiple of 553,4440 with GCF Formula

Least Common Multiple of 553,4440 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 553,4440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(553,4440) = 1

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

GCF(553,4440) x common factors =1 x 1 = 1

LCM(553,4440) = ( 553 × 4440 ) / 1

LCM(553,4440) = 2455320 / 1

LCM(553,4440) = 2455320


Lets's calculate GCF of 328,480

2 328, 480
2 164, 240
2 82, 120
41, 60

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2455320/8

Therefore the LCM of Fractions 553/328,4440/480 is 306915

Greatest Common Factor of 328,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 328,480 By Matching Biggest Common Factor Method

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

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 328,480 . The biggest common factor number is the GCF number.
So the greatest common factor 328,480 is 8.


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 553/328, 4440/480

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 553/328, 4440/480?

Answer: LCM of Numerators as per given numbers 553/328, 4440/480 is

LCM of Numerators i.e. for 553,4440 is 2455320

GCF of denominators i.e. for 328,480 is 8.

Thus, LCM of Fractions is 306915.Finally, LCM of Fractions for 553/328, 4440/480 is 306915.