Least Common Multiple of 609/10, 504/23, 496/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 609/10, 504/23, 496/254 quickly i.e. 906192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 609/10, 504/23, 496/254 is 906192.

LCM(609/10, 504/23, 496/254) = 906192

LCM of 609/10, 504/23, 496/254

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 609/10,504/23,496/254

Given numbers are 609/10,504/23,496/254

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 609,504,496

Least Common Multiple of Numerators i.e. LCM of 609,504,496 is 906192.

GCF of Denominators means GCF of 10,23,254 as per the given fractions.

GCF of 10,23,254 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 609,504,496

LCM of Fractions 609/10,504/23,496/254 is 906192

2 609, 504, 496
2 609, 252, 248
2 609, 126, 124
3 609, 63, 62
7 203, 21, 62
29, 3, 62

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 29 x 3 x 62 = 906192

Least Common Multiple of 609,504,496 with GCF Formula

Least Common Multiple of 609,504,496 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 609,504,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(609,504,496) = 1

common factors(in case of two or more numbers have common factors) = 168

GCF(609,504,496) x common factors =1 x 168 = 168

LCM(609,504,496) = ( 609 × 504 × 496 ) / 168

LCM(609,504,496) = 152240256 / 168

LCM(609,504,496) = 906192


Lets's calculate GCF of 10,23,254

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 906192/1

Therefore the LCM of Fractions 609/10,504/23,496/254 is 906192

Greatest Common Factor of 10,23,254 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,23,254 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Greatest Common Factor

We found the factors 10,23,254 . The biggest common factor number is the GCF number.
So the greatest common factor 10,23,254 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 609/10, 504/23, 496/254

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 609/10, 504/23, 496/254?

Answer: LCM of Numerators as per given numbers 609/10, 504/23, 496/254 is

LCM of Numerators i.e. for 609,504,496 is 906192

GCF of denominators i.e. for 10,23,254 is 1.

Thus, LCM of Fractions is 906192.Finally, LCM of Fractions for 609/10, 504/23, 496/254 is 906192.