Least Common Multiple of 6275/576, 2585/4960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6275/576, 2585/4960 quickly i.e. 3244175/32 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6275/576, 2585/4960 is 3244175/32.

LCM(6275/576, 2585/4960) = 3244175/32

LCM of 6275/576, 2585/4960

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 6275/576,2585/4960

Given numbers are 6275/576,2585/4960

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 6275,2585

Least Common Multiple of Numerators i.e. LCM of 6275,2585 is 3244175.

GCF of Denominators means GCF of 576,4960 as per the given fractions.

GCF of 576,4960 is 32 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6275,2585

LCM of Fractions 6275/576,2585/4960 is 3244175/32

5 6275, 2585
1255, 517

∴ So the LCM of the given numbers is 5 x 1255 x 517 = 3244175

Least Common Multiple of 6275,2585 with GCF Formula

Least Common Multiple of 6275,2585 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 6275,2585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6275,2585) = 5

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

GCF(6275,2585) x common factors =5 x 1 = 5

LCM(6275,2585) = ( 6275 × 2585 ) / 5

LCM(6275,2585) = 16220875 / 5

LCM(6275,2585) = 3244175


Lets's calculate GCF of 576,4960

2 576, 4960
2 288, 2480
2 144, 1240
2 72, 620
2 36, 310
18, 155

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3244175/32

Therefore the LCM of Fractions 6275/576,2585/4960 is 3244175/32

Greatest Common Factor of 576,4960 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,4960 By Matching Biggest Common Factor Method

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 4960

List of positive integer factors of 4960 that divides 4960 without a remainder.

1,2,4,5,8,10,16,20,31,32,40,62,80,124,155,160,248,310,496,620,992,1240,2480,4960

Greatest Common Factor

We found the factors 576,4960 . The biggest common factor number is the GCF number.
So the greatest common factor 576,4960 is 32.


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 6275/576, 2585/4960

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 6275/576, 2585/4960?

Answer: LCM of Numerators as per given numbers 6275/576, 2585/4960 is

LCM of Numerators i.e. for 6275,2585 is 3244175

GCF of denominators i.e. for 576,4960 is 32.

Thus, LCM of Fractions is 3244175/32.Finally, LCM of Fractions for 6275/576, 2585/4960 is 3244175/32.