Least Common Multiple of 480/12, 1485/401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 480/12, 1485/401 quickly i.e. 47520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 480/12, 1485/401 is 47520.

LCM(480/12, 1485/401) = 47520

LCM of 480/12, 1485/401

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 480/12,1485/401

Given numbers are 480/12,1485/401

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 480,1485

Least Common Multiple of Numerators i.e. LCM of 480,1485 is 47520.

GCF of Denominators means GCF of 12,401 as per the given fractions.

GCF of 12,401 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 480,1485

LCM of Fractions 480/12,1485/401 is 47520

3 480, 1485
5 160, 495
32, 99

∴ So the LCM of the given numbers is 3 x 5 x 32 x 99 = 47520

Least Common Multiple of 480,1485 with GCF Formula

Least Common Multiple of 480,1485 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 480,1485 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,1485) = 15

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

GCF(480,1485) x common factors =15 x 1 = 15

LCM(480,1485) = ( 480 × 1485 ) / 15

LCM(480,1485) = 712800 / 15

LCM(480,1485) = 47520


Lets's calculate GCF of 12,401

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47520/1

Therefore the LCM of Fractions 480/12,1485/401 is 47520

Greatest Common Factor of 12,401 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,401 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Greatest Common Factor

We found the factors 12,401 . The biggest common factor number is the GCF number.
So the greatest common factor 12,401 is 1.


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 480/12, 1485/401

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 480/12, 1485/401?

Answer: LCM of Numerators as per given numbers 480/12, 1485/401 is

LCM of Numerators i.e. for 480,1485 is 47520

GCF of denominators i.e. for 12,401 is 1.

Thus, LCM of Fractions is 47520.Finally, LCM of Fractions for 480/12, 1485/401 is 47520.