Least Common Multiple of 38/900, 8886/7488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/900, 8886/7488 quickly i.e. 168834/36 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/900, 8886/7488 is 168834/36.

LCM(38/900, 8886/7488) = 168834/36

LCM of 38/900, 8886/7488

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 38/900,8886/7488

Given numbers are 38/900,8886/7488

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 38,8886

Least Common Multiple of Numerators i.e. LCM of 38,8886 is 168834.

GCF of Denominators means GCF of 900,7488 as per the given fractions.

GCF of 900,7488 is 36 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,8886

LCM of Fractions 38/900,8886/7488 is 168834/36

2 38, 8886
19, 4443

∴ So the LCM of the given numbers is 2 x 19 x 4443 = 168834

Least Common Multiple of 38,8886 with GCF Formula

Least Common Multiple of 38,8886 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 38,8886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,8886) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(38,8886) x common factors =2 x 1 = 2

LCM(38,8886) = ( 38 × 8886 ) / 2

LCM(38,8886) = 337668 / 2

LCM(38,8886) = 168834


Lets's calculate GCF of 900,7488

2 900, 7488
2 450, 3744
3 225, 1872
3 75, 624
25, 208

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 168834/36

Therefore the LCM of Fractions 38/900,8886/7488 is 168834/36

Greatest Common Factor of 900,7488 By Matching Biggest Common Factor Method

Greatest Common Factor of 900,7488 By Matching Biggest Common Factor Method

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

Factors of 7488

List of positive integer factors of 7488 that divides 7488 without a remainder.

1,2,3,4,6,8,9,12,13,16,18,24,26,32,36,39,48,52,64,72,78,96,104,117,144,156,192,208,234,288,312,416,468,576,624,832,936,1248,1872,2496,3744,7488

Greatest Common Factor

We found the factors 900,7488 . The biggest common factor number is the GCF number.
So the greatest common factor 900,7488 is 36.


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 38/900, 8886/7488

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 38/900, 8886/7488?

Answer: LCM of Numerators as per given numbers 38/900, 8886/7488 is

LCM of Numerators i.e. for 38,8886 is 168834

GCF of denominators i.e. for 900,7488 is 36.

Thus, LCM of Fractions is 168834/36.Finally, LCM of Fractions for 38/900, 8886/7488 is 168834/36.