Least Common Multiple of 49/150, 79/649, 377/806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/150, 79/649, 377/806 quickly i.e. 1459367 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/150, 79/649, 377/806 is 1459367.

LCM(49/150, 79/649, 377/806) = 1459367

LCM of 49/150, 79/649, 377/806

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 49/150,79/649,377/806

Given numbers are 49/150,79/649,377/806

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 49,79,377

Least Common Multiple of Numerators i.e. LCM of 49,79,377 is 1459367.

GCF of Denominators means GCF of 150,649,806 as per the given fractions.

GCF of 150,649,806 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,79,377

LCM of Fractions 49/150,79/649,377/806 is 1459367

Given numbers has no common factors except 1. So, there LCM is their product i.e 1459367

Least Common Multiple of 49,79,377 with GCF Formula

Least Common Multiple of 49,79,377 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 49,79,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,79,377) = 1

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

GCF(49,79,377) x common factors =1 x 1 = 1

LCM(49,79,377) = ( 49 × 79 × 377 ) / 1

LCM(49,79,377) = 1459367 / 1

LCM(49,79,377) = 1459367


Lets's calculate GCF of 150,649,806

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1459367/1

Therefore the LCM of Fractions 49/150,79/649,377/806 is 1459367

Greatest Common Factor of 150,649,806 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,649,806 By Matching Biggest Common Factor Method

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Greatest Common Factor

We found the factors 150,649,806 . The biggest common factor number is the GCF number.
So the greatest common factor 150,649,806 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 49/150, 79/649, 377/806

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 49/150, 79/649, 377/806?

Answer: LCM of Numerators as per given numbers 49/150, 79/649, 377/806 is

LCM of Numerators i.e. for 49,79,377 is 1459367

GCF of denominators i.e. for 150,649,806 is 1.

Thus, LCM of Fractions is 1459367.Finally, LCM of Fractions for 49/150, 79/649, 377/806 is 1459367.