Least Common Multiple of 426/45, 594/2203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 426/45, 594/2203 quickly i.e. 42174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 426/45, 594/2203 is 42174.

LCM(426/45, 594/2203) = 42174

LCM of 426/45, 594/2203

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 426/45,594/2203

Given numbers are 426/45,594/2203

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 426,594

Least Common Multiple of Numerators i.e. LCM of 426,594 is 42174.

GCF of Denominators means GCF of 45,2203 as per the given fractions.

GCF of 45,2203 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 426,594

LCM of Fractions 426/45,594/2203 is 42174

2 426, 594
3 213, 297
71, 99

∴ So the LCM of the given numbers is 2 x 3 x 71 x 99 = 42174

Least Common Multiple of 426,594 with GCF Formula

Least Common Multiple of 426,594 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 426,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(426,594) = 6

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

GCF(426,594) x common factors =6 x 1 = 6

LCM(426,594) = ( 426 × 594 ) / 6

LCM(426,594) = 253044 / 6

LCM(426,594) = 42174


Lets's calculate GCF of 45,2203

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42174/1

Therefore the LCM of Fractions 426/45,594/2203 is 42174

Greatest Common Factor of 45,2203 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,2203 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 2203

List of positive integer factors of 2203 that divides 2203 without a remainder.

1,2203

Greatest Common Factor

We found the factors 45,2203 . The biggest common factor number is the GCF number.
So the greatest common factor 45,2203 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 426/45, 594/2203

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 426/45, 594/2203?

Answer: LCM of Numerators as per given numbers 426/45, 594/2203 is

LCM of Numerators i.e. for 426,594 is 42174

GCF of denominators i.e. for 45,2203 is 1.

Thus, LCM of Fractions is 42174.Finally, LCM of Fractions for 426/45, 594/2203 is 42174.