Least Common Multiple of 6506/800, 3727/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6506/800, 3727/648 quickly i.e. 24247862/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6506/800, 3727/648 is 24247862/8.

LCM(6506/800, 3727/648) = 24247862/8

LCM of 6506/800, 3727/648

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 6506/800,3727/648

Given numbers are 6506/800,3727/648

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 6506,3727

Least Common Multiple of Numerators i.e. LCM of 6506,3727 is 24247862.

GCF of Denominators means GCF of 800,648 as per the given fractions.

GCF of 800,648 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6506,3727

LCM of Fractions 6506/800,3727/648 is 24247862/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 24247862

Least Common Multiple of 6506,3727 with GCF Formula

Least Common Multiple of 6506,3727 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 6506,3727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6506,3727) = 1

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

GCF(6506,3727) x common factors =1 x 1 = 1

LCM(6506,3727) = ( 6506 × 3727 ) / 1

LCM(6506,3727) = 24247862 / 1

LCM(6506,3727) = 24247862


Lets's calculate GCF of 800,648

2 800, 648
2 400, 324
2 200, 162
100, 81

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24247862/8

Therefore the LCM of Fractions 6506/800,3727/648 is 24247862/8

Greatest Common Factor of 800,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 800,648 By Matching Biggest Common Factor Method

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 800,648 . The biggest common factor number is the GCF number.
So the greatest common factor 800,648 is 8.


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 6506/800, 3727/648

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 6506/800, 3727/648?

Answer: LCM of Numerators as per given numbers 6506/800, 3727/648 is

LCM of Numerators i.e. for 6506,3727 is 24247862

GCF of denominators i.e. for 800,648 is 8.

Thus, LCM of Fractions is 24247862/8.Finally, LCM of Fractions for 6506/800, 3727/648 is 24247862/8.