Least Common Multiple of 6516/293, 5760/1006

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6516/293, 5760/1006 quickly i.e. 1042560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6516/293, 5760/1006 is 1042560.

LCM(6516/293, 5760/1006) = 1042560

LCM of 6516/293, 5760/1006

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 6516/293,5760/1006

Given numbers are 6516/293,5760/1006

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 6516,5760

Least Common Multiple of Numerators i.e. LCM of 6516,5760 is 1042560.

GCF of Denominators means GCF of 293,1006 as per the given fractions.

GCF of 293,1006 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6516,5760

LCM of Fractions 6516/293,5760/1006 is 1042560

2 6516, 5760
2 3258, 2880
3 1629, 1440
3 543, 480
181, 160

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 181 x 160 = 1042560

Least Common Multiple of 6516,5760 with GCF Formula

Least Common Multiple of 6516,5760 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 6516,5760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6516,5760) = 36

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

GCF(6516,5760) x common factors =36 x 1 = 36

LCM(6516,5760) = ( 6516 × 5760 ) / 36

LCM(6516,5760) = 37532160 / 36

LCM(6516,5760) = 1042560


Lets's calculate GCF of 293,1006

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1042560/1

Therefore the LCM of Fractions 6516/293,5760/1006 is 1042560

Greatest Common Factor of 293,1006 By Matching Biggest Common Factor Method

Greatest Common Factor of 293,1006 By Matching Biggest Common Factor Method

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Factors of 1006

List of positive integer factors of 1006 that divides 1006 without a remainder.

1,2,503,1006

Greatest Common Factor

We found the factors 293,1006 . The biggest common factor number is the GCF number.
So the greatest common factor 293,1006 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 6516/293, 5760/1006

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 6516/293, 5760/1006?

Answer: LCM of Numerators as per given numbers 6516/293, 5760/1006 is

LCM of Numerators i.e. for 6516,5760 is 1042560

GCF of denominators i.e. for 293,1006 is 1.

Thus, LCM of Fractions is 1042560.Finally, LCM of Fractions for 6516/293, 5760/1006 is 1042560.