Least Common Multiple of 188/490, 522/615, 869/544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 188/490, 522/615, 869/544 quickly i.e. 42640092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 188/490, 522/615, 869/544 is 42640092.

LCM(188/490, 522/615, 869/544) = 42640092

LCM of 188/490, 522/615, 869/544

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 188/490,522/615,869/544

Given numbers are 188/490,522/615,869/544

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 188,522,869

Least Common Multiple of Numerators i.e. LCM of 188,522,869 is 42640092.

GCF of Denominators means GCF of 490,615,544 as per the given fractions.

GCF of 490,615,544 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 188,522,869

LCM of Fractions 188/490,522/615,869/544 is 42640092

2 188, 522, 869
94, 261, 869

∴ So the LCM of the given numbers is 2 x 94 x 261 x 869 = 42640092

Least Common Multiple of 188,522,869 with GCF Formula

Least Common Multiple of 188,522,869 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 188,522,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,522,869) = 1

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

GCF(188,522,869) x common factors =1 x 2 = 2

LCM(188,522,869) = ( 188 × 522 × 869 ) / 2

LCM(188,522,869) = 85280184 / 2

LCM(188,522,869) = 42640092


Lets's calculate GCF of 490,615,544

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42640092/1

Therefore the LCM of Fractions 188/490,522/615,869/544 is 42640092

Greatest Common Factor of 490,615,544 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,615,544 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Greatest Common Factor

We found the factors 490,615,544 . The biggest common factor number is the GCF number.
So the greatest common factor 490,615,544 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 188/490, 522/615, 869/544

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 188/490, 522/615, 869/544?

Answer: LCM of Numerators as per given numbers 188/490, 522/615, 869/544 is

LCM of Numerators i.e. for 188,522,869 is 42640092

GCF of denominators i.e. for 490,615,544 is 1.

Thus, LCM of Fractions is 42640092.Finally, LCM of Fractions for 188/490, 522/615, 869/544 is 42640092.