Least Common Multiple of 3896/818, 8499/1802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3896/818, 8499/1802 quickly i.e. 16556052 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3896/818, 8499/1802 is 16556052.

LCM(3896/818, 8499/1802) = 16556052

LCM of 3896/818, 8499/1802

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 3896/818,8499/1802

Given numbers are 3896/818,8499/1802

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 3896,8499

Least Common Multiple of Numerators i.e. LCM of 3896,8499 is 33112104.

GCF of Denominators means GCF of 818,1802 as per the given fractions.

GCF of 818,1802 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3896,8499

LCM of Fractions 3896/818,8499/1802 is 16556052

Given numbers has no common factors except 1. So, there LCM is their product i.e 33112104

Least Common Multiple of 3896,8499 with GCF Formula

Least Common Multiple of 3896,8499 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 3896,8499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3896,8499) = 1

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

GCF(3896,8499) x common factors =1 x 1 = 1

LCM(3896,8499) = ( 3896 × 8499 ) / 1

LCM(3896,8499) = 33112104 / 1

LCM(3896,8499) = 33112104


Lets's calculate GCF of 818,1802

2 818, 1802
409, 901

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33112104/2

Therefore the LCM of Fractions 3896/818,8499/1802 is 16556052

Greatest Common Factor of 818,1802 By Matching Biggest Common Factor Method

Greatest Common Factor of 818,1802 By Matching Biggest Common Factor Method

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 1802

List of positive integer factors of 1802 that divides 1802 without a remainder.

1,2,17,34,53,106,901,1802

Greatest Common Factor

We found the factors 818,1802 . The biggest common factor number is the GCF number.
So the greatest common factor 818,1802 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 3896/818, 8499/1802

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 3896/818, 8499/1802?

Answer: LCM of Numerators as per given numbers 3896/818, 8499/1802 is

LCM of Numerators i.e. for 3896,8499 is 33112104

GCF of denominators i.e. for 818,1802 is 2.

Thus, LCM of Fractions is 16556052.Finally, LCM of Fractions for 3896/818, 8499/1802 is 16556052.