Least Common Multiple of 381/48, 198/48, 416/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 381/48, 198/48, 416/225 quickly i.e. 1743456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 381/48, 198/48, 416/225 is 1743456.

LCM(381/48, 198/48, 416/225) = 1743456

LCM of 381/48, 198/48, 416/225

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 381/48,198/48,416/225

Given numbers are 381/48,198/48,416/225

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 381,198,416

Least Common Multiple of Numerators i.e. LCM of 381,198,416 is 5230368.

GCF of Denominators means GCF of 48,48,225 as per the given fractions.

GCF of 48,48,225 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 381,198,416

LCM of Fractions 381/48,198/48,416/225 is 1743456

2 381, 198, 416
3 381, 99, 208
127, 33, 208

∴ So the LCM of the given numbers is 2 x 3 x 127 x 33 x 208 = 5230368

Least Common Multiple of 381,198,416 with GCF Formula

Least Common Multiple of 381,198,416 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 381,198,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,198,416) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(381,198,416) x common factors =1 x 6 = 6

LCM(381,198,416) = ( 381 × 198 × 416 ) / 6

LCM(381,198,416) = 31382208 / 6

LCM(381,198,416) = 5230368


Lets's calculate GCF of 48,48,225

3 48, 48, 225
16, 16, 75

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5230368/3

Therefore the LCM of Fractions 381/48,198/48,416/225 is 1743456

Greatest Common Factor of 48,48,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,48,225 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 48,48,225 . The biggest common factor number is the GCF number.
So the greatest common factor 48,48,225 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 381/48, 198/48, 416/225

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 381/48, 198/48, 416/225?

Answer: LCM of Numerators as per given numbers 381/48, 198/48, 416/225 is

LCM of Numerators i.e. for 381,198,416 is 5230368

GCF of denominators i.e. for 48,48,225 is 3.

Thus, LCM of Fractions is 1743456.Finally, LCM of Fractions for 381/48, 198/48, 416/225 is 1743456.