Least Common Multiple of 6504/246, 8000/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6504/246, 8000/574 quickly i.e. 6504000/82 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6504/246, 8000/574 is 6504000/82.

LCM(6504/246, 8000/574) = 6504000/82

LCM of 6504/246, 8000/574

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 6504/246,8000/574

Given numbers are 6504/246,8000/574

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 6504,8000

Least Common Multiple of Numerators i.e. LCM of 6504,8000 is 6504000.

GCF of Denominators means GCF of 246,574 as per the given fractions.

GCF of 246,574 is 82 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6504,8000

LCM of Fractions 6504/246,8000/574 is 6504000/82

2 6504, 8000
2 3252, 4000
2 1626, 2000
813, 1000

∴ So the LCM of the given numbers is 2 x 2 x 2 x 813 x 1000 = 6504000

Least Common Multiple of 6504,8000 with GCF Formula

Least Common Multiple of 6504,8000 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 6504,8000 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6504,8000) = 8

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

GCF(6504,8000) x common factors =8 x 1 = 8

LCM(6504,8000) = ( 6504 × 8000 ) / 8

LCM(6504,8000) = 52032000 / 8

LCM(6504,8000) = 6504000


Lets's calculate GCF of 246,574

2 246, 574
41 123, 287
3, 7

∴ So the GCF of the given numbers is 2 x 41 = 82

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6504000/82

Therefore the LCM of Fractions 6504/246,8000/574 is 6504000/82

Greatest Common Factor of 246,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 246,574 By Matching Biggest Common Factor Method

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 246,574 . The biggest common factor number is the GCF number.
So the greatest common factor 246,574 is 82.


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 6504/246, 8000/574

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 6504/246, 8000/574?

Answer: LCM of Numerators as per given numbers 6504/246, 8000/574 is

LCM of Numerators i.e. for 6504,8000 is 6504000

GCF of denominators i.e. for 246,574 is 82.

Thus, LCM of Fractions is 6504000/82.Finally, LCM of Fractions for 6504/246, 8000/574 is 6504000/82.