Least Common Multiple of 904/334, 2496/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 904/334, 2496/565 quickly i.e. 282048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 904/334, 2496/565 is 282048.

LCM(904/334, 2496/565) = 282048

LCM of 904/334, 2496/565

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 904/334,2496/565

Given numbers are 904/334,2496/565

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 904,2496

Least Common Multiple of Numerators i.e. LCM of 904,2496 is 282048.

GCF of Denominators means GCF of 334,565 as per the given fractions.

GCF of 334,565 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 904,2496

LCM of Fractions 904/334,2496/565 is 282048

2 904, 2496
2 452, 1248
2 226, 624
113, 312

∴ So the LCM of the given numbers is 2 x 2 x 2 x 113 x 312 = 282048

Least Common Multiple of 904,2496 with GCF Formula

Least Common Multiple of 904,2496 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 904,2496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,2496) = 8

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

GCF(904,2496) x common factors =8 x 1 = 8

LCM(904,2496) = ( 904 × 2496 ) / 8

LCM(904,2496) = 2256384 / 8

LCM(904,2496) = 282048


Lets's calculate GCF of 334,565

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 282048/1

Therefore the LCM of Fractions 904/334,2496/565 is 282048

Greatest Common Factor of 334,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 334,565 By Matching Biggest Common Factor Method

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Greatest Common Factor

We found the factors 334,565 . The biggest common factor number is the GCF number.
So the greatest common factor 334,565 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 904/334, 2496/565

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 904/334, 2496/565?

Answer: LCM of Numerators as per given numbers 904/334, 2496/565 is

LCM of Numerators i.e. for 904,2496 is 282048

GCF of denominators i.e. for 334,565 is 1.

Thus, LCM of Fractions is 282048.Finally, LCM of Fractions for 904/334, 2496/565 is 282048.