Least Common Multiple of 69/221, 68/413, 863/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 69/221, 68/413, 863/788 quickly i.e. 4049196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/221, 68/413, 863/788 is 4049196.

LCM(69/221, 68/413, 863/788) = 4049196

LCM of 69/221, 68/413, 863/788

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 69/221,68/413,863/788

Given numbers are 69/221,68/413,863/788

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 69,68,863

Least Common Multiple of Numerators i.e. LCM of 69,68,863 is 4049196.

GCF of Denominators means GCF of 221,413,788 as per the given fractions.

GCF of 221,413,788 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,68,863

LCM of Fractions 69/221,68/413,863/788 is 4049196

Given numbers has no common factors except 1. So, there LCM is their product i.e 4049196

Least Common Multiple of 69,68,863 with GCF Formula

Least Common Multiple of 69,68,863 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 69,68,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,68,863) = 1

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

GCF(69,68,863) x common factors =1 x 1 = 1

LCM(69,68,863) = ( 69 × 68 × 863 ) / 1

LCM(69,68,863) = 4049196 / 1

LCM(69,68,863) = 4049196


Lets's calculate GCF of 221,413,788

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4049196/1

Therefore the LCM of Fractions 69/221,68/413,863/788 is 4049196

Greatest Common Factor of 221,413,788 By Matching Biggest Common Factor Method

Greatest Common Factor of 221,413,788 By Matching Biggest Common Factor Method

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Greatest Common Factor

We found the factors 221,413,788 . The biggest common factor number is the GCF number.
So the greatest common factor 221,413,788 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 69/221, 68/413, 863/788

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 69/221, 68/413, 863/788?

Answer: LCM of Numerators as per given numbers 69/221, 68/413, 863/788 is

LCM of Numerators i.e. for 69,68,863 is 4049196

GCF of denominators i.e. for 221,413,788 is 1.

Thus, LCM of Fractions is 4049196.Finally, LCM of Fractions for 69/221, 68/413, 863/788 is 4049196.