Least Common Multiple of 824/38, 236/88, 261/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 824/38, 236/88, 261/132 quickly i.e. 6344388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 824/38, 236/88, 261/132 is 6344388.

LCM(824/38, 236/88, 261/132) = 6344388

LCM of 824/38, 236/88, 261/132

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 824/38,236/88,261/132

Given numbers are 824/38,236/88,261/132

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 824,236,261

Least Common Multiple of Numerators i.e. LCM of 824,236,261 is 12688776.

GCF of Denominators means GCF of 38,88,132 as per the given fractions.

GCF of 38,88,132 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 824,236,261

LCM of Fractions 824/38,236/88,261/132 is 6344388

2 824, 236, 261
2 412, 118, 261
206, 59, 261

∴ So the LCM of the given numbers is 2 x 2 x 206 x 59 x 261 = 12688776

Least Common Multiple of 824,236,261 with GCF Formula

Least Common Multiple of 824,236,261 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 824,236,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,236,261) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(824,236,261) x common factors =1 x 4 = 4

LCM(824,236,261) = ( 824 × 236 × 261 ) / 4

LCM(824,236,261) = 50755104 / 4

LCM(824,236,261) = 12688776


Lets's calculate GCF of 38,88,132

2 38, 88, 132
19, 44, 66

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12688776/2

Therefore the LCM of Fractions 824/38,236/88,261/132 is 6344388

Greatest Common Factor of 38,88,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,88,132 By Matching Biggest Common Factor Method

Factors of 38

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

1,2,19,38

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 38,88,132 . The biggest common factor number is the GCF number.
So the greatest common factor 38,88,132 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 824/38, 236/88, 261/132

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 824/38, 236/88, 261/132?

Answer: LCM of Numerators as per given numbers 824/38, 236/88, 261/132 is

LCM of Numerators i.e. for 824,236,261 is 12688776

GCF of denominators i.e. for 38,88,132 is 2.

Thus, LCM of Fractions is 6344388.Finally, LCM of Fractions for 824/38, 236/88, 261/132 is 6344388.