Least Common Multiple of 90/344, 24/588, 226/145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/344, 24/588, 226/145 quickly i.e. 40680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/344, 24/588, 226/145 is 40680.

LCM(90/344, 24/588, 226/145) = 40680

LCM of 90/344, 24/588, 226/145

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 90/344,24/588,226/145

Given numbers are 90/344,24/588,226/145

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 90,24,226

Least Common Multiple of Numerators i.e. LCM of 90,24,226 is 40680.

GCF of Denominators means GCF of 344,588,145 as per the given fractions.

GCF of 344,588,145 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,24,226

LCM of Fractions 90/344,24/588,226/145 is 40680

2 90, 24, 226
3 45, 12, 113
15, 4, 113

∴ So the LCM of the given numbers is 2 x 3 x 15 x 4 x 113 = 40680

Least Common Multiple of 90,24,226 with GCF Formula

Least Common Multiple of 90,24,226 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 90,24,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,24,226) = 2

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

GCF(90,24,226) x common factors =2 x 6 = 12

LCM(90,24,226) = ( 90 × 24 × 226 ) / 12

LCM(90,24,226) = 488160 / 12

LCM(90,24,226) = 40680


Lets's calculate GCF of 344,588,145

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40680/1

Therefore the LCM of Fractions 90/344,24/588,226/145 is 40680

Greatest Common Factor of 344,588,145 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,588,145 By Matching Biggest Common Factor Method

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Greatest Common Factor

We found the factors 344,588,145 . The biggest common factor number is the GCF number.
So the greatest common factor 344,588,145 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 90/344, 24/588, 226/145

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 90/344, 24/588, 226/145?

Answer: LCM of Numerators as per given numbers 90/344, 24/588, 226/145 is

LCM of Numerators i.e. for 90,24,226 is 40680

GCF of denominators i.e. for 344,588,145 is 1.

Thus, LCM of Fractions is 40680.Finally, LCM of Fractions for 90/344, 24/588, 226/145 is 40680.