Least Common Multiple of 6649/687, 3081/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6649/687, 3081/149 quickly i.e. 20485569 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6649/687, 3081/149 is 20485569.

LCM(6649/687, 3081/149) = 20485569

LCM of 6649/687, 3081/149

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 6649/687,3081/149

Given numbers are 6649/687,3081/149

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 6649,3081

Least Common Multiple of Numerators i.e. LCM of 6649,3081 is 20485569.

GCF of Denominators means GCF of 687,149 as per the given fractions.

GCF of 687,149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6649,3081

LCM of Fractions 6649/687,3081/149 is 20485569

Given numbers has no common factors except 1. So, there LCM is their product i.e 20485569

Least Common Multiple of 6649,3081 with GCF Formula

Least Common Multiple of 6649,3081 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 6649,3081 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6649,3081) = 1

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

GCF(6649,3081) x common factors =1 x 1 = 1

LCM(6649,3081) = ( 6649 × 3081 ) / 1

LCM(6649,3081) = 20485569 / 1

LCM(6649,3081) = 20485569


Lets's calculate GCF of 687,149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20485569/1

Therefore the LCM of Fractions 6649/687,3081/149 is 20485569

Greatest Common Factor of 687,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 687,149 By Matching Biggest Common Factor Method

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 687,149 . The biggest common factor number is the GCF number.
So the greatest common factor 687,149 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 6649/687, 3081/149

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 6649/687, 3081/149?

Answer: LCM of Numerators as per given numbers 6649/687, 3081/149 is

LCM of Numerators i.e. for 6649,3081 is 20485569

GCF of denominators i.e. for 687,149 is 1.

Thus, LCM of Fractions is 20485569.Finally, LCM of Fractions for 6649/687, 3081/149 is 20485569.