Least Common Multiple of 188/824, 328/869, 956/205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 188/824, 328/869, 956/205 quickly i.e. 3684424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 188/824, 328/869, 956/205 is 3684424.

LCM(188/824, 328/869, 956/205) = 3684424

LCM of 188/824, 328/869, 956/205

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 188/824,328/869,956/205

Given numbers are 188/824,328/869,956/205

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 188,328,956

Least Common Multiple of Numerators i.e. LCM of 188,328,956 is 3684424.

GCF of Denominators means GCF of 824,869,205 as per the given fractions.

GCF of 824,869,205 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 188,328,956

LCM of Fractions 188/824,328/869,956/205 is 3684424

2 188, 328, 956
2 94, 164, 478
47, 82, 239

∴ So the LCM of the given numbers is 2 x 2 x 47 x 82 x 239 = 3684424

Least Common Multiple of 188,328,956 with GCF Formula

Least Common Multiple of 188,328,956 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 188,328,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,328,956) = 4

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

GCF(188,328,956) x common factors =4 x 4 = 16

LCM(188,328,956) = ( 188 × 328 × 956 ) / 16

LCM(188,328,956) = 58950784 / 16

LCM(188,328,956) = 3684424


Lets's calculate GCF of 824,869,205

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3684424/1

Therefore the LCM of Fractions 188/824,328/869,956/205 is 3684424

Greatest Common Factor of 824,869,205 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,869,205 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Greatest Common Factor

We found the factors 824,869,205 . The biggest common factor number is the GCF number.
So the greatest common factor 824,869,205 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 188/824, 328/869, 956/205

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 188/824, 328/869, 956/205?

Answer: LCM of Numerators as per given numbers 188/824, 328/869, 956/205 is

LCM of Numerators i.e. for 188,328,956 is 3684424

GCF of denominators i.e. for 824,869,205 is 1.

Thus, LCM of Fractions is 3684424.Finally, LCM of Fractions for 188/824, 328/869, 956/205 is 3684424.