Least Common Multiple of 4684/308, 3771/6822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4684/308, 3771/6822 quickly i.e. 8831682 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4684/308, 3771/6822 is 8831682.

LCM(4684/308, 3771/6822) = 8831682

LCM of 4684/308, 3771/6822

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 4684/308,3771/6822

Given numbers are 4684/308,3771/6822

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 4684,3771

Least Common Multiple of Numerators i.e. LCM of 4684,3771 is 17663364.

GCF of Denominators means GCF of 308,6822 as per the given fractions.

GCF of 308,6822 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4684,3771

LCM of Fractions 4684/308,3771/6822 is 8831682

Given numbers has no common factors except 1. So, there LCM is their product i.e 17663364

Least Common Multiple of 4684,3771 with GCF Formula

Least Common Multiple of 4684,3771 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 4684,3771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4684,3771) = 1

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

GCF(4684,3771) x common factors =1 x 1 = 1

LCM(4684,3771) = ( 4684 × 3771 ) / 1

LCM(4684,3771) = 17663364 / 1

LCM(4684,3771) = 17663364


Lets's calculate GCF of 308,6822

2 308, 6822
154, 3411

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17663364/2

Therefore the LCM of Fractions 4684/308,3771/6822 is 8831682

Greatest Common Factor of 308,6822 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,6822 By Matching Biggest Common Factor Method

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 6822

List of positive integer factors of 6822 that divides 6822 without a remainder.

1,2,3,6,9,18,379,758,1137,2274,3411,6822

Greatest Common Factor

We found the factors 308,6822 . The biggest common factor number is the GCF number.
So the greatest common factor 308,6822 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 4684/308, 3771/6822

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 4684/308, 3771/6822?

Answer: LCM of Numerators as per given numbers 4684/308, 3771/6822 is

LCM of Numerators i.e. for 4684,3771 is 17663364

GCF of denominators i.e. for 308,6822 is 2.

Thus, LCM of Fractions is 8831682.Finally, LCM of Fractions for 4684/308, 3771/6822 is 8831682.