Least Common Multiple of 188/89, 122/34, 488/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 188/89, 122/34, 488/642 quickly i.e. 22936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 188/89, 122/34, 488/642 is 22936.

LCM(188/89, 122/34, 488/642) = 22936

LCM of 188/89, 122/34, 488/642

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 188/89,122/34,488/642

Given numbers are 188/89,122/34,488/642

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 188,122,488

Least Common Multiple of Numerators i.e. LCM of 188,122,488 is 22936.

GCF of Denominators means GCF of 89,34,642 as per the given fractions.

GCF of 89,34,642 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 188,122,488

LCM of Fractions 188/89,122/34,488/642 is 22936

2 188, 122, 488
2 94, 61, 244
61 47, 61, 122
47, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 61 x 47 x 1 x 2 = 22936

Least Common Multiple of 188,122,488 with GCF Formula

Least Common Multiple of 188,122,488 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 188,122,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,122,488) = 2

common factors(in case of two or more numbers have common factors) = 244

GCF(188,122,488) x common factors =2 x 244 = 488

LCM(188,122,488) = ( 188 × 122 × 488 ) / 488

LCM(188,122,488) = 11192768 / 488

LCM(188,122,488) = 22936


Lets's calculate GCF of 89,34,642

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22936/1

Therefore the LCM of Fractions 188/89,122/34,488/642 is 22936

Greatest Common Factor of 89,34,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,34,642 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 89,34,642 . The biggest common factor number is the GCF number.
So the greatest common factor 89,34,642 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 188/89, 122/34, 488/642

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 188/89, 122/34, 488/642?

Answer: LCM of Numerators as per given numbers 188/89, 122/34, 488/642 is

LCM of Numerators i.e. for 188,122,488 is 22936

GCF of denominators i.e. for 89,34,642 is 1.

Thus, LCM of Fractions is 22936.Finally, LCM of Fractions for 188/89, 122/34, 488/642 is 22936.