Least Common Multiple of 6827/170, 4828/3857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6827/170, 4828/3857 quickly i.e. 32960756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6827/170, 4828/3857 is 32960756.

LCM(6827/170, 4828/3857) = 32960756

LCM of 6827/170, 4828/3857

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 6827/170,4828/3857

Given numbers are 6827/170,4828/3857

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 6827,4828

Least Common Multiple of Numerators i.e. LCM of 6827,4828 is 32960756.

GCF of Denominators means GCF of 170,3857 as per the given fractions.

GCF of 170,3857 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6827,4828

LCM of Fractions 6827/170,4828/3857 is 32960756

Given numbers has no common factors except 1. So, there LCM is their product i.e 32960756

Least Common Multiple of 6827,4828 with GCF Formula

Least Common Multiple of 6827,4828 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 6827,4828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6827,4828) = 1

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

GCF(6827,4828) x common factors =1 x 1 = 1

LCM(6827,4828) = ( 6827 × 4828 ) / 1

LCM(6827,4828) = 32960756 / 1

LCM(6827,4828) = 32960756


Lets's calculate GCF of 170,3857

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32960756/1

Therefore the LCM of Fractions 6827/170,4828/3857 is 32960756

Greatest Common Factor of 170,3857 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,3857 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 3857

List of positive integer factors of 3857 that divides 3857 without a remainder.

1,7,19,29,133,203,551,3857

Greatest Common Factor

We found the factors 170,3857 . The biggest common factor number is the GCF number.
So the greatest common factor 170,3857 is 1.


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 6827/170, 4828/3857

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 6827/170, 4828/3857?

Answer: LCM of Numerators as per given numbers 6827/170, 4828/3857 is

LCM of Numerators i.e. for 6827,4828 is 32960756

GCF of denominators i.e. for 170,3857 is 1.

Thus, LCM of Fractions is 32960756.Finally, LCM of Fractions for 6827/170, 4828/3857 is 32960756.