Least Common Multiple of 290/49, 331/80, 809/887

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 290/49, 331/80, 809/887 quickly i.e. 77655910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 290/49, 331/80, 809/887 is 77655910.

LCM(290/49, 331/80, 809/887) = 77655910

LCM of 290/49, 331/80, 809/887

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 290/49,331/80,809/887

Given numbers are 290/49,331/80,809/887

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 290,331,809

Least Common Multiple of Numerators i.e. LCM of 290,331,809 is 77655910.

GCF of Denominators means GCF of 49,80,887 as per the given fractions.

GCF of 49,80,887 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 290,331,809

LCM of Fractions 290/49,331/80,809/887 is 77655910

Given numbers has no common factors except 1. So, there LCM is their product i.e 77655910

Least Common Multiple of 290,331,809 with GCF Formula

Least Common Multiple of 290,331,809 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 290,331,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,331,809) = 1

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

GCF(290,331,809) x common factors =1 x 1 = 1

LCM(290,331,809) = ( 290 × 331 × 809 ) / 1

LCM(290,331,809) = 77655910 / 1

LCM(290,331,809) = 77655910


Lets's calculate GCF of 49,80,887

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77655910/1

Therefore the LCM of Fractions 290/49,331/80,809/887 is 77655910

Greatest Common Factor of 49,80,887 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,80,887 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 887

List of positive integer factors of 887 that divides 887 without a remainder.

1,887

Greatest Common Factor

We found the factors 49,80,887 . The biggest common factor number is the GCF number.
So the greatest common factor 49,80,887 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 290/49, 331/80, 809/887

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 290/49, 331/80, 809/887?

Answer: LCM of Numerators as per given numbers 290/49, 331/80, 809/887 is

LCM of Numerators i.e. for 290,331,809 is 77655910

GCF of denominators i.e. for 49,80,887 is 1.

Thus, LCM of Fractions is 77655910.Finally, LCM of Fractions for 290/49, 331/80, 809/887 is 77655910.