Least Common Multiple of 61/288, 69/778, 163/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/288, 69/778, 163/744 quickly i.e. 686067/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/288, 69/778, 163/744 is 686067/2.

LCM(61/288, 69/778, 163/744) = 686067/2

LCM of 61/288, 69/778, 163/744

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 61/288,69/778,163/744

Given numbers are 61/288,69/778,163/744

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 61,69,163

Least Common Multiple of Numerators i.e. LCM of 61,69,163 is 686067.

GCF of Denominators means GCF of 288,778,744 as per the given fractions.

GCF of 288,778,744 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,69,163

LCM of Fractions 61/288,69/778,163/744 is 686067/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 686067

Least Common Multiple of 61,69,163 with GCF Formula

Least Common Multiple of 61,69,163 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 61,69,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,69,163) = 1

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

GCF(61,69,163) x common factors =1 x 1 = 1

LCM(61,69,163) = ( 61 × 69 × 163 ) / 1

LCM(61,69,163) = 686067 / 1

LCM(61,69,163) = 686067


Lets's calculate GCF of 288,778,744

2 288, 778, 744
144, 389, 372

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 686067/2

Therefore the LCM of Fractions 61/288,69/778,163/744 is 686067/2

Greatest Common Factor of 288,778,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,778,744 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 288,778,744 . The biggest common factor number is the GCF number.
So the greatest common factor 288,778,744 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 61/288, 69/778, 163/744

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 61/288, 69/778, 163/744?

Answer: LCM of Numerators as per given numbers 61/288, 69/778, 163/744 is

LCM of Numerators i.e. for 61,69,163 is 686067

GCF of denominators i.e. for 288,778,744 is 2.

Thus, LCM of Fractions is 686067/2.Finally, LCM of Fractions for 61/288, 69/778, 163/744 is 686067/2.