Least Common Multiple of 438/90, 812/2045

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 438/90, 812/2045 quickly i.e. 177828/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 438/90, 812/2045 is 177828/5.

LCM(438/90, 812/2045) = 177828/5

LCM of 438/90, 812/2045

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 438/90,812/2045

Given numbers are 438/90,812/2045

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 438,812

Least Common Multiple of Numerators i.e. LCM of 438,812 is 177828.

GCF of Denominators means GCF of 90,2045 as per the given fractions.

GCF of 90,2045 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 438,812

LCM of Fractions 438/90,812/2045 is 177828/5

2 438, 812
219, 406

∴ So the LCM of the given numbers is 2 x 219 x 406 = 177828

Least Common Multiple of 438,812 with GCF Formula

Least Common Multiple of 438,812 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 438,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,812) = 2

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

GCF(438,812) x common factors =2 x 1 = 2

LCM(438,812) = ( 438 × 812 ) / 2

LCM(438,812) = 355656 / 2

LCM(438,812) = 177828


Lets's calculate GCF of 90,2045

5 90, 2045
18, 409

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 177828/5

Therefore the LCM of Fractions 438/90,812/2045 is 177828/5

Greatest Common Factor of 90,2045 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,2045 By Matching Biggest Common Factor Method

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 2045

List of positive integer factors of 2045 that divides 2045 without a remainder.

1,5,409,2045

Greatest Common Factor

We found the factors 90,2045 . The biggest common factor number is the GCF number.
So the greatest common factor 90,2045 is 5.


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 438/90, 812/2045

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 438/90, 812/2045?

Answer: LCM of Numerators as per given numbers 438/90, 812/2045 is

LCM of Numerators i.e. for 438,812 is 177828

GCF of denominators i.e. for 90,2045 is 5.

Thus, LCM of Fractions is 177828/5.Finally, LCM of Fractions for 438/90, 812/2045 is 177828/5.