Least Common Multiple of 255/77, 448/9569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 255/77, 448/9569 quickly i.e. 16320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 255/77, 448/9569 is 16320.

LCM(255/77, 448/9569) = 16320

LCM of 255/77, 448/9569

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 255/77,448/9569

Given numbers are 255/77,448/9569

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 255,448

Least Common Multiple of Numerators i.e. LCM of 255,448 is 114240.

GCF of Denominators means GCF of 77,9569 as per the given fractions.

GCF of 77,9569 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 255,448

LCM of Fractions 255/77,448/9569 is 16320

Given numbers has no common factors except 1. So, there LCM is their product i.e 114240

Least Common Multiple of 255,448 with GCF Formula

Least Common Multiple of 255,448 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 255,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(255,448) = 1

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

GCF(255,448) x common factors =1 x 1 = 1

LCM(255,448) = ( 255 × 448 ) / 1

LCM(255,448) = 114240 / 1

LCM(255,448) = 114240


Lets's calculate GCF of 77,9569

7 77, 9569
11, 1367

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114240/7

Therefore the LCM of Fractions 255/77,448/9569 is 16320

Greatest Common Factor of 77,9569 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,9569 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 9569

List of positive integer factors of 9569 that divides 9569 without a remainder.

1,7,1367,9569

Greatest Common Factor

We found the factors 77,9569 . The biggest common factor number is the GCF number.
So the greatest common factor 77,9569 is 7.


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 255/77, 448/9569

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 255/77, 448/9569?

Answer: LCM of Numerators as per given numbers 255/77, 448/9569 is

LCM of Numerators i.e. for 255,448 is 114240

GCF of denominators i.e. for 77,9569 is 7.

Thus, LCM of Fractions is 16320.Finally, LCM of Fractions for 255/77, 448/9569 is 16320.