Least Common Multiple of 819/989, 9271/2270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 819/989, 9271/2270 quickly i.e. 7592949 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 819/989, 9271/2270 is 7592949.

LCM(819/989, 9271/2270) = 7592949

LCM of 819/989, 9271/2270

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 819/989,9271/2270

Given numbers are 819/989,9271/2270

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 819,9271

Least Common Multiple of Numerators i.e. LCM of 819,9271 is 7592949.

GCF of Denominators means GCF of 989,2270 as per the given fractions.

GCF of 989,2270 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 819,9271

LCM of Fractions 819/989,9271/2270 is 7592949

Given numbers has no common factors except 1. So, there LCM is their product i.e 7592949

Least Common Multiple of 819,9271 with GCF Formula

Least Common Multiple of 819,9271 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 819,9271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(819,9271) = 1

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

GCF(819,9271) x common factors =1 x 1 = 1

LCM(819,9271) = ( 819 × 9271 ) / 1

LCM(819,9271) = 7592949 / 1

LCM(819,9271) = 7592949


Lets's calculate GCF of 989,2270

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7592949/1

Therefore the LCM of Fractions 819/989,9271/2270 is 7592949

Greatest Common Factor of 989,2270 By Matching Biggest Common Factor Method

Greatest Common Factor of 989,2270 By Matching Biggest Common Factor Method

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 2270

List of positive integer factors of 2270 that divides 2270 without a remainder.

1,2,5,10,227,454,1135,2270

Greatest Common Factor

We found the factors 989,2270 . The biggest common factor number is the GCF number.
So the greatest common factor 989,2270 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 819/989, 9271/2270

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 819/989, 9271/2270?

Answer: LCM of Numerators as per given numbers 819/989, 9271/2270 is

LCM of Numerators i.e. for 819,9271 is 7592949

GCF of denominators i.e. for 989,2270 is 1.

Thus, LCM of Fractions is 7592949.Finally, LCM of Fractions for 819/989, 9271/2270 is 7592949.