Least Common Multiple of 41/68, 94/800, 812/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/68, 94/800, 812/384 quickly i.e. 391181 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/68, 94/800, 812/384 is 391181.

LCM(41/68, 94/800, 812/384) = 391181

LCM of 41/68, 94/800, 812/384

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 41/68,94/800,812/384

Given numbers are 41/68,94/800,812/384

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 41,94,812

Least Common Multiple of Numerators i.e. LCM of 41,94,812 is 1564724.

GCF of Denominators means GCF of 68,800,384 as per the given fractions.

GCF of 68,800,384 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,94,812

LCM of Fractions 41/68,94/800,812/384 is 391181

2 41, 94, 812
41, 47, 406

∴ So the LCM of the given numbers is 2 x 41 x 47 x 406 = 1564724

Least Common Multiple of 41,94,812 with GCF Formula

Least Common Multiple of 41,94,812 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 41,94,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,94,812) = 1

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

GCF(41,94,812) x common factors =1 x 2 = 2

LCM(41,94,812) = ( 41 × 94 × 812 ) / 2

LCM(41,94,812) = 3129448 / 2

LCM(41,94,812) = 1564724


Lets's calculate GCF of 68,800,384

2 68, 800, 384
2 34, 400, 192
17, 200, 96

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1564724/4

Therefore the LCM of Fractions 41/68,94/800,812/384 is 391181

Greatest Common Factor of 68,800,384 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,800,384 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Greatest Common Factor

We found the factors 68,800,384 . The biggest common factor number is the GCF number.
So the greatest common factor 68,800,384 is 4.


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 41/68, 94/800, 812/384

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 41/68, 94/800, 812/384?

Answer: LCM of Numerators as per given numbers 41/68, 94/800, 812/384 is

LCM of Numerators i.e. for 41,94,812 is 1564724

GCF of denominators i.e. for 68,800,384 is 4.

Thus, LCM of Fractions is 391181.Finally, LCM of Fractions for 41/68, 94/800, 812/384 is 391181.