Least Common Multiple of 809/48, 850/89, 493/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 809/48, 850/89, 493/262 quickly i.e. 19941850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 809/48, 850/89, 493/262 is 19941850.

LCM(809/48, 850/89, 493/262) = 19941850

LCM of 809/48, 850/89, 493/262

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 809/48,850/89,493/262

Given numbers are 809/48,850/89,493/262

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 809,850,493

Least Common Multiple of Numerators i.e. LCM of 809,850,493 is 19941850.

GCF of Denominators means GCF of 48,89,262 as per the given fractions.

GCF of 48,89,262 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 809,850,493

LCM of Fractions 809/48,850/89,493/262 is 19941850

17 809, 850, 493
809, 50, 29

∴ So the LCM of the given numbers is 17 x 809 x 50 x 29 = 19941850

Least Common Multiple of 809,850,493 with GCF Formula

Least Common Multiple of 809,850,493 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 809,850,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,850,493) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(809,850,493) x common factors =1 x 17 = 17

LCM(809,850,493) = ( 809 × 850 × 493 ) / 17

LCM(809,850,493) = 339011450 / 17

LCM(809,850,493) = 19941850


Lets's calculate GCF of 48,89,262

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19941850/1

Therefore the LCM of Fractions 809/48,850/89,493/262 is 19941850

Greatest Common Factor of 48,89,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,89,262 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Greatest Common Factor

We found the factors 48,89,262 . The biggest common factor number is the GCF number.
So the greatest common factor 48,89,262 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 809/48, 850/89, 493/262

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 809/48, 850/89, 493/262?

Answer: LCM of Numerators as per given numbers 809/48, 850/89, 493/262 is

LCM of Numerators i.e. for 809,850,493 is 19941850

GCF of denominators i.e. for 48,89,262 is 1.

Thus, LCM of Fractions is 19941850.Finally, LCM of Fractions for 809/48, 850/89, 493/262 is 19941850.