Least Common Multiple of 89/814, 47/616, 242/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/814, 47/616, 242/550 quickly i.e. 46013 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/814, 47/616, 242/550 is 46013.

LCM(89/814, 47/616, 242/550) = 46013

LCM of 89/814, 47/616, 242/550

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 89/814,47/616,242/550

Given numbers are 89/814,47/616,242/550

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 89,47,242

Least Common Multiple of Numerators i.e. LCM of 89,47,242 is 1012286.

GCF of Denominators means GCF of 814,616,550 as per the given fractions.

GCF of 814,616,550 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,47,242

LCM of Fractions 89/814,47/616,242/550 is 46013

Given numbers has no common factors except 1. So, there LCM is their product i.e 1012286

Least Common Multiple of 89,47,242 with GCF Formula

Least Common Multiple of 89,47,242 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 89,47,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,47,242) = 1

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

GCF(89,47,242) x common factors =1 x 1 = 1

LCM(89,47,242) = ( 89 × 47 × 242 ) / 1

LCM(89,47,242) = 1012286 / 1

LCM(89,47,242) = 1012286


Lets's calculate GCF of 814,616,550

2 814, 616, 550
11 407, 308, 275
37, 28, 25

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1012286/22

Therefore the LCM of Fractions 89/814,47/616,242/550 is 46013

Greatest Common Factor of 814,616,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,616,550 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 814,616,550 . The biggest common factor number is the GCF number.
So the greatest common factor 814,616,550 is 22.


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 89/814, 47/616, 242/550

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 89/814, 47/616, 242/550?

Answer: LCM of Numerators as per given numbers 89/814, 47/616, 242/550 is

LCM of Numerators i.e. for 89,47,242 is 1012286

GCF of denominators i.e. for 814,616,550 is 22.

Thus, LCM of Fractions is 46013.Finally, LCM of Fractions for 89/814, 47/616, 242/550 is 46013.