Least Common Multiple of 18/53, 380/38, 561/250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/53, 380/38, 561/250 quickly i.e. 639540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/53, 380/38, 561/250 is 639540.

LCM(18/53, 380/38, 561/250) = 639540

LCM of 18/53, 380/38, 561/250

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 18/53,380/38,561/250

Given numbers are 18/53,380/38,561/250

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 18,380,561

Least Common Multiple of Numerators i.e. LCM of 18,380,561 is 639540.

GCF of Denominators means GCF of 53,38,250 as per the given fractions.

GCF of 53,38,250 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,380,561

LCM of Fractions 18/53,380/38,561/250 is 639540

2 18, 380, 561
3 9, 190, 561
3, 190, 187

∴ So the LCM of the given numbers is 2 x 3 x 3 x 190 x 187 = 639540

Least Common Multiple of 18,380,561 with GCF Formula

Least Common Multiple of 18,380,561 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 18,380,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,380,561) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(18,380,561) x common factors =1 x 6 = 6

LCM(18,380,561) = ( 18 × 380 × 561 ) / 6

LCM(18,380,561) = 3837240 / 6

LCM(18,380,561) = 639540


Lets's calculate GCF of 53,38,250

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 639540/1

Therefore the LCM of Fractions 18/53,380/38,561/250 is 639540

Greatest Common Factor of 53,38,250 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,38,250 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 38

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

1,2,19,38

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Greatest Common Factor

We found the factors 53,38,250 . The biggest common factor number is the GCF number.
So the greatest common factor 53,38,250 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 18/53, 380/38, 561/250

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 18/53, 380/38, 561/250?

Answer: LCM of Numerators as per given numbers 18/53, 380/38, 561/250 is

LCM of Numerators i.e. for 18,380,561 is 639540

GCF of denominators i.e. for 53,38,250 is 1.

Thus, LCM of Fractions is 639540.Finally, LCM of Fractions for 18/53, 380/38, 561/250 is 639540.