Least Common Multiple of 900/38, 413/22, 736/18

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 900/38, 413/22, 736/18 quickly i.e. 34196400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 900/38, 413/22, 736/18 is 34196400.

LCM(900/38, 413/22, 736/18) = 34196400

LCM of 900/38, 413/22, 736/18

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 900/38,413/22,736/18

Given numbers are 900/38,413/22,736/18

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 900,413,736

Least Common Multiple of Numerators i.e. LCM of 900,413,736 is 68392800.

GCF of Denominators means GCF of 38,22,18 as per the given fractions.

GCF of 38,22,18 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 900,413,736

LCM of Fractions 900/38,413/22,736/18 is 34196400

2 900, 413, 736
2 450, 413, 368
225, 413, 184

∴ So the LCM of the given numbers is 2 x 2 x 225 x 413 x 184 = 68392800

Least Common Multiple of 900,413,736 with GCF Formula

Least Common Multiple of 900,413,736 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 900,413,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,413,736) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(900,413,736) x common factors =1 x 4 = 4

LCM(900,413,736) = ( 900 × 413 × 736 ) / 4

LCM(900,413,736) = 273571200 / 4

LCM(900,413,736) = 68392800


Lets's calculate GCF of 38,22,18

2 38, 22, 18
19, 11, 9

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68392800/2

Therefore the LCM of Fractions 900/38,413/22,736/18 is 34196400

Greatest Common Factor of 38,22,18 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,22,18 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 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Greatest Common Factor

We found the factors 38,22,18 . The biggest common factor number is the GCF number.
So the greatest common factor 38,22,18 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 900/38, 413/22, 736/18

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 900/38, 413/22, 736/18?

Answer: LCM of Numerators as per given numbers 900/38, 413/22, 736/18 is

LCM of Numerators i.e. for 900,413,736 is 68392800

GCF of denominators i.e. for 38,22,18 is 2.

Thus, LCM of Fractions is 34196400.Finally, LCM of Fractions for 900/38, 413/22, 736/18 is 34196400.