Least Common Multiple of 409/89, 424/75, 426/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 409/89, 424/75, 426/492 quickly i.e. 36937608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 409/89, 424/75, 426/492 is 36937608.

LCM(409/89, 424/75, 426/492) = 36937608

LCM of 409/89, 424/75, 426/492

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 409/89,424/75,426/492

Given numbers are 409/89,424/75,426/492

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 409,424,426

Least Common Multiple of Numerators i.e. LCM of 409,424,426 is 36937608.

GCF of Denominators means GCF of 89,75,492 as per the given fractions.

GCF of 89,75,492 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 409,424,426

LCM of Fractions 409/89,424/75,426/492 is 36937608

2 409, 424, 426
409, 212, 213

∴ So the LCM of the given numbers is 2 x 409 x 212 x 213 = 36937608

Least Common Multiple of 409,424,426 with GCF Formula

Least Common Multiple of 409,424,426 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 409,424,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(409,424,426) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(409,424,426) x common factors =1 x 2 = 2

LCM(409,424,426) = ( 409 × 424 × 426 ) / 2

LCM(409,424,426) = 73875216 / 2

LCM(409,424,426) = 36937608


Lets's calculate GCF of 89,75,492

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36937608/1

Therefore the LCM of Fractions 409/89,424/75,426/492 is 36937608

Greatest Common Factor of 89,75,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,75,492 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 89,75,492 . The biggest common factor number is the GCF number.
So the greatest common factor 89,75,492 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 409/89, 424/75, 426/492

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 409/89, 424/75, 426/492?

Answer: LCM of Numerators as per given numbers 409/89, 424/75, 426/492 is

LCM of Numerators i.e. for 409,424,426 is 36937608

GCF of denominators i.e. for 89,75,492 is 1.

Thus, LCM of Fractions is 36937608.Finally, LCM of Fractions for 409/89, 424/75, 426/492 is 36937608.