Least Common Multiple of 4578/480, 3270/381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4578/480, 3270/381 quickly i.e. 7630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4578/480, 3270/381 is 7630.

LCM(4578/480, 3270/381) = 7630

LCM of 4578/480, 3270/381

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 4578/480,3270/381

Given numbers are 4578/480,3270/381

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 4578,3270

Least Common Multiple of Numerators i.e. LCM of 4578,3270 is 22890.

GCF of Denominators means GCF of 480,381 as per the given fractions.

GCF of 480,381 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4578,3270

LCM of Fractions 4578/480,3270/381 is 7630

2 4578, 3270
3 2289, 1635
109 763, 545
7, 5

∴ So the LCM of the given numbers is 2 x 3 x 109 x 7 x 5 = 22890

Least Common Multiple of 4578,3270 with GCF Formula

Least Common Multiple of 4578,3270 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 4578,3270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4578,3270) = 654

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

GCF(4578,3270) x common factors =654 x 1 = 654

LCM(4578,3270) = ( 4578 × 3270 ) / 654

LCM(4578,3270) = 14970060 / 654

LCM(4578,3270) = 22890


Lets's calculate GCF of 480,381

3 480, 381
160, 127

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22890/3

Therefore the LCM of Fractions 4578/480,3270/381 is 7630

Greatest Common Factor of 480,381 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,381 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 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Greatest Common Factor

We found the factors 480,381 . The biggest common factor number is the GCF number.
So the greatest common factor 480,381 is 3.


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 4578/480, 3270/381

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 4578/480, 3270/381?

Answer: LCM of Numerators as per given numbers 4578/480, 3270/381 is

LCM of Numerators i.e. for 4578,3270 is 22890

GCF of denominators i.e. for 480,381 is 3.

Thus, LCM of Fractions is 7630.Finally, LCM of Fractions for 4578/480, 3270/381 is 7630.