Least Common Multiple of 48/41, 38/838, 845/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/41, 38/838, 845/468 quickly i.e. 770640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/41, 38/838, 845/468 is 770640.

LCM(48/41, 38/838, 845/468) = 770640

LCM of 48/41, 38/838, 845/468

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 48/41,38/838,845/468

Given numbers are 48/41,38/838,845/468

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 48,38,845

Least Common Multiple of Numerators i.e. LCM of 48,38,845 is 770640.

GCF of Denominators means GCF of 41,838,468 as per the given fractions.

GCF of 41,838,468 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,38,845

LCM of Fractions 48/41,38/838,845/468 is 770640

2 48, 38, 845
24, 19, 845

∴ So the LCM of the given numbers is 2 x 24 x 19 x 845 = 770640

Least Common Multiple of 48,38,845 with GCF Formula

Least Common Multiple of 48,38,845 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 48,38,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,38,845) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(48,38,845) x common factors =1 x 2 = 2

LCM(48,38,845) = ( 48 × 38 × 845 ) / 2

LCM(48,38,845) = 1541280 / 2

LCM(48,38,845) = 770640


Lets's calculate GCF of 41,838,468

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 770640/1

Therefore the LCM of Fractions 48/41,38/838,845/468 is 770640

Greatest Common Factor of 41,838,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,838,468 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 41,838,468 . The biggest common factor number is the GCF number.
So the greatest common factor 41,838,468 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 48/41, 38/838, 845/468

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 48/41, 38/838, 845/468?

Answer: LCM of Numerators as per given numbers 48/41, 38/838, 845/468 is

LCM of Numerators i.e. for 48,38,845 is 770640

GCF of denominators i.e. for 41,838,468 is 1.

Thus, LCM of Fractions is 770640.Finally, LCM of Fractions for 48/41, 38/838, 845/468 is 770640.