Least Common Multiple of 819/388, 8698/8116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 819/388, 8698/8116 quickly i.e. 7123662/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 819/388, 8698/8116 is 7123662/4.

LCM(819/388, 8698/8116) = 7123662/4

LCM of 819/388, 8698/8116

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 819/388,8698/8116

Given numbers are 819/388,8698/8116

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 819,8698

Least Common Multiple of Numerators i.e. LCM of 819,8698 is 7123662.

GCF of Denominators means GCF of 388,8116 as per the given fractions.

GCF of 388,8116 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 819,8698

LCM of Fractions 819/388,8698/8116 is 7123662/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 7123662

Least Common Multiple of 819,8698 with GCF Formula

Least Common Multiple of 819,8698 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 819,8698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(819,8698) = 1

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

GCF(819,8698) x common factors =1 x 1 = 1

LCM(819,8698) = ( 819 × 8698 ) / 1

LCM(819,8698) = 7123662 / 1

LCM(819,8698) = 7123662


Lets's calculate GCF of 388,8116

2 388, 8116
2 194, 4058
97, 2029

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7123662/4

Therefore the LCM of Fractions 819/388,8698/8116 is 7123662/4

Greatest Common Factor of 388,8116 By Matching Biggest Common Factor Method

Greatest Common Factor of 388,8116 By Matching Biggest Common Factor Method

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 8116

List of positive integer factors of 8116 that divides 8116 without a remainder.

1,2,4,2029,4058,8116

Greatest Common Factor

We found the factors 388,8116 . The biggest common factor number is the GCF number.
So the greatest common factor 388,8116 is 4.


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 819/388, 8698/8116

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 819/388, 8698/8116?

Answer: LCM of Numerators as per given numbers 819/388, 8698/8116 is

LCM of Numerators i.e. for 819,8698 is 7123662

GCF of denominators i.e. for 388,8116 is 4.

Thus, LCM of Fractions is 7123662/4.Finally, LCM of Fractions for 819/388, 8698/8116 is 7123662/4.