Least Common Multiple of 777/69, 569/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 777/69, 569/465 quickly i.e. 147371 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 777/69, 569/465 is 147371.

LCM(777/69, 569/465) = 147371

LCM of 777/69, 569/465

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 777/69,569/465

Given numbers are 777/69,569/465

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 777,569

Least Common Multiple of Numerators i.e. LCM of 777,569 is 442113.

GCF of Denominators means GCF of 69,465 as per the given fractions.

GCF of 69,465 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 777,569

LCM of Fractions 777/69,569/465 is 147371

Given numbers has no common factors except 1. So, there LCM is their product i.e 442113

Least Common Multiple of 777,569 with GCF Formula

Least Common Multiple of 777,569 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 777,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(777,569) = 1

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

GCF(777,569) x common factors =1 x 1 = 1

LCM(777,569) = ( 777 × 569 ) / 1

LCM(777,569) = 442113 / 1

LCM(777,569) = 442113


Lets's calculate GCF of 69,465

3 69, 465
23, 155

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 442113/3

Therefore the LCM of Fractions 777/69,569/465 is 147371

Greatest Common Factor of 69,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,465 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 69,465 . The biggest common factor number is the GCF number.
So the greatest common factor 69,465 is 3.


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 777/69, 569/465

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 777/69, 569/465?

Answer: LCM of Numerators as per given numbers 777/69, 569/465 is

LCM of Numerators i.e. for 777,569 is 442113

GCF of denominators i.e. for 69,465 is 3.

Thus, LCM of Fractions is 147371.Finally, LCM of Fractions for 777/69, 569/465 is 147371.