Least Common Multiple of 827/22, 201/24, 684/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 827/22, 201/24, 684/956 quickly i.e. 18949878 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 827/22, 201/24, 684/956 is 18949878.

LCM(827/22, 201/24, 684/956) = 18949878

LCM of 827/22, 201/24, 684/956

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 827/22,201/24,684/956

Given numbers are 827/22,201/24,684/956

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 827,201,684

Least Common Multiple of Numerators i.e. LCM of 827,201,684 is 37899756.

GCF of Denominators means GCF of 22,24,956 as per the given fractions.

GCF of 22,24,956 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 827,201,684

LCM of Fractions 827/22,201/24,684/956 is 18949878

3 827, 201, 684
827, 67, 228

∴ So the LCM of the given numbers is 3 x 827 x 67 x 228 = 37899756

Least Common Multiple of 827,201,684 with GCF Formula

Least Common Multiple of 827,201,684 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 827,201,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,201,684) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(827,201,684) x common factors =1 x 3 = 3

LCM(827,201,684) = ( 827 × 201 × 684 ) / 3

LCM(827,201,684) = 113699268 / 3

LCM(827,201,684) = 37899756


Lets's calculate GCF of 22,24,956

2 22, 24, 956
11, 12, 478

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37899756/2

Therefore the LCM of Fractions 827/22,201/24,684/956 is 18949878

Greatest Common Factor of 22,24,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,24,956 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 22,24,956 . The biggest common factor number is the GCF number.
So the greatest common factor 22,24,956 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 827/22, 201/24, 684/956

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 827/22, 201/24, 684/956?

Answer: LCM of Numerators as per given numbers 827/22, 201/24, 684/956 is

LCM of Numerators i.e. for 827,201,684 is 37899756

GCF of denominators i.e. for 22,24,956 is 2.

Thus, LCM of Fractions is 18949878.Finally, LCM of Fractions for 827/22, 201/24, 684/956 is 18949878.