Least Common Multiple of 30/45, 41/35, 480/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/45, 41/35, 480/442 quickly i.e. 19680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/45, 41/35, 480/442 is 19680.

LCM(30/45, 41/35, 480/442) = 19680

LCM of 30/45, 41/35, 480/442

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 30/45,41/35,480/442

Given numbers are 30/45,41/35,480/442

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 30,41,480

Least Common Multiple of Numerators i.e. LCM of 30,41,480 is 19680.

GCF of Denominators means GCF of 45,35,442 as per the given fractions.

GCF of 45,35,442 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,41,480

LCM of Fractions 30/45,41/35,480/442 is 19680

2 30, 41, 480
3 15, 41, 240
5 5, 41, 80
1, 41, 16

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 41 x 16 = 19680

Least Common Multiple of 30,41,480 with GCF Formula

Least Common Multiple of 30,41,480 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 30,41,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,41,480) = 1

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

GCF(30,41,480) x common factors =1 x 30 = 30

LCM(30,41,480) = ( 30 × 41 × 480 ) / 30

LCM(30,41,480) = 590400 / 30

LCM(30,41,480) = 19680


Lets's calculate GCF of 45,35,442

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19680/1

Therefore the LCM of Fractions 30/45,41/35,480/442 is 19680

Greatest Common Factor of 45,35,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,35,442 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 45,35,442 . The biggest common factor number is the GCF number.
So the greatest common factor 45,35,442 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 30/45, 41/35, 480/442

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 30/45, 41/35, 480/442?

Answer: LCM of Numerators as per given numbers 30/45, 41/35, 480/442 is

LCM of Numerators i.e. for 30,41,480 is 19680

GCF of denominators i.e. for 45,35,442 is 1.

Thus, LCM of Fractions is 19680.Finally, LCM of Fractions for 30/45, 41/35, 480/442 is 19680.