Least Common Multiple of 69/804, 2202/4857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/804, 2202/4857 quickly i.e. 16882 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/804, 2202/4857 is 16882.

LCM(69/804, 2202/4857) = 16882

LCM of 69/804, 2202/4857

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 69/804,2202/4857

Given numbers are 69/804,2202/4857

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 69,2202

Least Common Multiple of Numerators i.e. LCM of 69,2202 is 50646.

GCF of Denominators means GCF of 804,4857 as per the given fractions.

GCF of 804,4857 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,2202

LCM of Fractions 69/804,2202/4857 is 16882

3 69, 2202
23, 734

∴ So the LCM of the given numbers is 3 x 23 x 734 = 50646

Least Common Multiple of 69,2202 with GCF Formula

Least Common Multiple of 69,2202 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 69,2202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,2202) = 3

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

GCF(69,2202) x common factors =3 x 1 = 3

LCM(69,2202) = ( 69 × 2202 ) / 3

LCM(69,2202) = 151938 / 3

LCM(69,2202) = 50646


Lets's calculate GCF of 804,4857

3 804, 4857
268, 1619

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50646/3

Therefore the LCM of Fractions 69/804,2202/4857 is 16882

Greatest Common Factor of 804,4857 By Matching Biggest Common Factor Method

Greatest Common Factor of 804,4857 By Matching Biggest Common Factor Method

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 4857

List of positive integer factors of 4857 that divides 4857 without a remainder.

1,3,1619,4857

Greatest Common Factor

We found the factors 804,4857 . The biggest common factor number is the GCF number.
So the greatest common factor 804,4857 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 69/804, 2202/4857

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 69/804, 2202/4857?

Answer: LCM of Numerators as per given numbers 69/804, 2202/4857 is

LCM of Numerators i.e. for 69,2202 is 50646

GCF of denominators i.e. for 804,4857 is 3.

Thus, LCM of Fractions is 16882.Finally, LCM of Fractions for 69/804, 2202/4857 is 16882.