Least Common Multiple of 15/38, 14/94, 81/90, 50/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/38, 14/94, 81/90, 50/900 quickly i.e. 14175 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/38, 14/94, 81/90, 50/900 is 14175.

LCM(15/38, 14/94, 81/90, 50/900) = 14175

LCM of 15/38, 14/94, 81/90, 50/900

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 15/38,14/94,81/90,50/900

Given numbers are 15/38,14/94,81/90,50/900

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 15,14,81,50

Least Common Multiple of Numerators i.e. LCM of 15,14,81,50 is 28350.

GCF of Denominators means GCF of 38,94,90,900 as per the given fractions.

GCF of 38,94,90,900 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,14,81,50

LCM of Fractions 15/38,14/94,81/90,50/900 is 14175

2 15, 14, 81, 50
3 15, 7, 81, 25
5 5, 7, 27, 25
1, 7, 27, 5

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 7 x 27 x 5 = 28350

Least Common Multiple of 15,14,81,50 with GCF Formula

Least Common Multiple of 15,14,81,50 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 15,14,81,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,14,81,50) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(15,14,81,50) x common factors =1 x 30 = 30

LCM(15,14,81,50) = ( 15 × 14 × 81 × 50 ) / 30

LCM(15,14,81,50) = 850500 / 30

LCM(15,14,81,50) = 28350


Lets's calculate GCF of 38,94,90,900

2 38, 94, 90, 900
19, 47, 45, 450

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28350/2

Therefore the LCM of Fractions 15/38,14/94,81/90,50/900 is 14175

Greatest Common Factor of 38,94,90,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,94,90,900 By Matching Biggest Common Factor Method

Factors of 38

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

1,2,19,38

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 38,94,90,900 . The biggest common factor number is the GCF number.
So the greatest common factor 38,94,90,900 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 15/38, 14/94, 81/90, 50/900

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 15/38, 14/94, 81/90, 50/900?

Answer: LCM of Numerators as per given numbers 15/38, 14/94, 81/90, 50/900 is

LCM of Numerators i.e. for 15,14,81,50 is 28350

GCF of denominators i.e. for 38,94,90,900 is 2.

Thus, LCM of Fractions is 14175.Finally, LCM of Fractions for 15/38, 14/94, 81/90, 50/900 is 14175.