Least Common Multiple of 15/401, 30/366, 480/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/401, 30/366, 480/880 quickly i.e. 480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/401, 30/366, 480/880 is 480.

LCM(15/401, 30/366, 480/880) = 480

LCM of 15/401, 30/366, 480/880

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 15/401,30/366,480/880

Given numbers are 15/401,30/366,480/880

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 15,30,480

Least Common Multiple of Numerators i.e. LCM of 15,30,480 is 480.

GCF of Denominators means GCF of 401,366,880 as per the given fractions.

GCF of 401,366,880 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,30,480

LCM of Fractions 15/401,30/366,480/880 is 480

2 15, 30, 480
3 15, 15, 240
5 5, 5, 80
1, 1, 16

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 1 x 16 = 480

Least Common Multiple of 15,30,480 with GCF Formula

Least Common Multiple of 15,30,480 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 15,30,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,30,480) = 15

common factors(in case of two or more numbers have common factors) = 30

GCF(15,30,480) x common factors =15 x 30 = 450

LCM(15,30,480) = ( 15 × 30 × 480 ) / 450

LCM(15,30,480) = 216000 / 450

LCM(15,30,480) = 480


Lets's calculate GCF of 401,366,880

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 480/1

Therefore the LCM of Fractions 15/401,30/366,480/880 is 480

Greatest Common Factor of 401,366,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 401,366,880 By Matching Biggest Common Factor Method

Factors of 401

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

1,401

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 401,366,880 . The biggest common factor number is the GCF number.
So the greatest common factor 401,366,880 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 15/401, 30/366, 480/880

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 15/401, 30/366, 480/880?

Answer: LCM of Numerators as per given numbers 15/401, 30/366, 480/880 is

LCM of Numerators i.e. for 15,30,480 is 480

GCF of denominators i.e. for 401,366,880 is 1.

Thus, LCM of Fractions is 480.Finally, LCM of Fractions for 15/401, 30/366, 480/880 is 480.