Least Common Multiple of 821/66, 834/38, 256/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 821/66, 834/38, 256/146 quickly i.e. 43821696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 821/66, 834/38, 256/146 is 43821696.

LCM(821/66, 834/38, 256/146) = 43821696

LCM of 821/66, 834/38, 256/146

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 821/66,834/38,256/146

Given numbers are 821/66,834/38,256/146

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 821,834,256

Least Common Multiple of Numerators i.e. LCM of 821,834,256 is 87643392.

GCF of Denominators means GCF of 66,38,146 as per the given fractions.

GCF of 66,38,146 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 821,834,256

LCM of Fractions 821/66,834/38,256/146 is 43821696

2 821, 834, 256
821, 417, 128

∴ So the LCM of the given numbers is 2 x 821 x 417 x 128 = 87643392

Least Common Multiple of 821,834,256 with GCF Formula

Least Common Multiple of 821,834,256 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 821,834,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(821,834,256) = 1

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

GCF(821,834,256) x common factors =1 x 2 = 2

LCM(821,834,256) = ( 821 × 834 × 256 ) / 2

LCM(821,834,256) = 175286784 / 2

LCM(821,834,256) = 87643392


Lets's calculate GCF of 66,38,146

2 66, 38, 146
33, 19, 73

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87643392/2

Therefore the LCM of Fractions 821/66,834/38,256/146 is 43821696

Greatest Common Factor of 66,38,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,38,146 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 66,38,146 . The biggest common factor number is the GCF number.
So the greatest common factor 66,38,146 is 2.


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 821/66, 834/38, 256/146

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 821/66, 834/38, 256/146?

Answer: LCM of Numerators as per given numbers 821/66, 834/38, 256/146 is

LCM of Numerators i.e. for 821,834,256 is 87643392

GCF of denominators i.e. for 66,38,146 is 2.

Thus, LCM of Fractions is 43821696.Finally, LCM of Fractions for 821/66, 834/38, 256/146 is 43821696.