Least Common Multiple of 4208/828, 3857/849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4208/828, 3857/849 quickly i.e. 16230256/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4208/828, 3857/849 is 16230256/3.

LCM(4208/828, 3857/849) = 16230256/3

LCM of 4208/828, 3857/849

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 4208/828,3857/849

Given numbers are 4208/828,3857/849

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 4208,3857

Least Common Multiple of Numerators i.e. LCM of 4208,3857 is 16230256.

GCF of Denominators means GCF of 828,849 as per the given fractions.

GCF of 828,849 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4208,3857

LCM of Fractions 4208/828,3857/849 is 16230256/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 16230256

Least Common Multiple of 4208,3857 with GCF Formula

Least Common Multiple of 4208,3857 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 4208,3857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4208,3857) = 1

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

GCF(4208,3857) x common factors =1 x 1 = 1

LCM(4208,3857) = ( 4208 × 3857 ) / 1

LCM(4208,3857) = 16230256 / 1

LCM(4208,3857) = 16230256


Lets's calculate GCF of 828,849

3 828, 849
276, 283

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16230256/3

Therefore the LCM of Fractions 4208/828,3857/849 is 16230256/3

Greatest Common Factor of 828,849 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,849 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Greatest Common Factor

We found the factors 828,849 . The biggest common factor number is the GCF number.
So the greatest common factor 828,849 is 3.


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 4208/828, 3857/849

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 4208/828, 3857/849?

Answer: LCM of Numerators as per given numbers 4208/828, 3857/849 is

LCM of Numerators i.e. for 4208,3857 is 16230256

GCF of denominators i.e. for 828,849 is 3.

Thus, LCM of Fractions is 16230256/3.Finally, LCM of Fractions for 4208/828, 3857/849 is 16230256/3.