Least Common Multiple of 89/824, 3327/1826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/824, 3327/1826 quickly i.e. 296103/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/824, 3327/1826 is 296103/2.

LCM(89/824, 3327/1826) = 296103/2

LCM of 89/824, 3327/1826

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 89/824,3327/1826

Given numbers are 89/824,3327/1826

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 89,3327

Least Common Multiple of Numerators i.e. LCM of 89,3327 is 296103.

GCF of Denominators means GCF of 824,1826 as per the given fractions.

GCF of 824,1826 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,3327

LCM of Fractions 89/824,3327/1826 is 296103/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 296103

Least Common Multiple of 89,3327 with GCF Formula

Least Common Multiple of 89,3327 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 89,3327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,3327) = 1

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

GCF(89,3327) x common factors =1 x 1 = 1

LCM(89,3327) = ( 89 × 3327 ) / 1

LCM(89,3327) = 296103 / 1

LCM(89,3327) = 296103


Lets's calculate GCF of 824,1826

2 824, 1826
412, 913

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 296103/2

Therefore the LCM of Fractions 89/824,3327/1826 is 296103/2

Greatest Common Factor of 824,1826 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,1826 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 1826

List of positive integer factors of 1826 that divides 1826 without a remainder.

1,2,11,22,83,166,913,1826

Greatest Common Factor

We found the factors 824,1826 . The biggest common factor number is the GCF number.
So the greatest common factor 824,1826 is 2.


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 89/824, 3327/1826

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 89/824, 3327/1826?

Answer: LCM of Numerators as per given numbers 89/824, 3327/1826 is

LCM of Numerators i.e. for 89,3327 is 296103

GCF of denominators i.e. for 824,1826 is 2.

Thus, LCM of Fractions is 296103/2.Finally, LCM of Fractions for 89/824, 3327/1826 is 296103/2.