Least Common Multiple of 38/844, 48/420, 864/193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/844, 48/420, 864/193 quickly i.e. 16416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/844, 48/420, 864/193 is 16416.

LCM(38/844, 48/420, 864/193) = 16416

LCM of 38/844, 48/420, 864/193

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 38/844,48/420,864/193

Given numbers are 38/844,48/420,864/193

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 38,48,864

Least Common Multiple of Numerators i.e. LCM of 38,48,864 is 16416.

GCF of Denominators means GCF of 844,420,193 as per the given fractions.

GCF of 844,420,193 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,48,864

LCM of Fractions 38/844,48/420,864/193 is 16416

2 38, 48, 864
2 19, 24, 432
2 19, 12, 216
2 19, 6, 108
3 19, 3, 54
19, 1, 18

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 19 x 1 x 18 = 16416

Least Common Multiple of 38,48,864 with GCF Formula

Least Common Multiple of 38,48,864 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 38,48,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,48,864) = 2

common factors(in case of two or more numbers have common factors) = 48

GCF(38,48,864) x common factors =2 x 48 = 96

LCM(38,48,864) = ( 38 × 48 × 864 ) / 96

LCM(38,48,864) = 1575936 / 96

LCM(38,48,864) = 16416


Lets's calculate GCF of 844,420,193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16416/1

Therefore the LCM of Fractions 38/844,48/420,864/193 is 16416

Greatest Common Factor of 844,420,193 By Matching Biggest Common Factor Method

Greatest Common Factor of 844,420,193 By Matching Biggest Common Factor Method

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

Greatest Common Factor

We found the factors 844,420,193 . The biggest common factor number is the GCF number.
So the greatest common factor 844,420,193 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 38/844, 48/420, 864/193

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 38/844, 48/420, 864/193?

Answer: LCM of Numerators as per given numbers 38/844, 48/420, 864/193 is

LCM of Numerators i.e. for 38,48,864 is 16416

GCF of denominators i.e. for 844,420,193 is 1.

Thus, LCM of Fractions is 16416.Finally, LCM of Fractions for 38/844, 48/420, 864/193 is 16416.