Least Common Multiple of 448/385, 143/569, 771/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 448/385, 143/569, 771/778 quickly i.e. 49393344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 448/385, 143/569, 771/778 is 49393344.

LCM(448/385, 143/569, 771/778) = 49393344

LCM of 448/385, 143/569, 771/778

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 448/385,143/569,771/778

Given numbers are 448/385,143/569,771/778

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 448,143,771

Least Common Multiple of Numerators i.e. LCM of 448,143,771 is 49393344.

GCF of Denominators means GCF of 385,569,778 as per the given fractions.

GCF of 385,569,778 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 448,143,771

LCM of Fractions 448/385,143/569,771/778 is 49393344

Given numbers has no common factors except 1. So, there LCM is their product i.e 49393344

Least Common Multiple of 448,143,771 with GCF Formula

Least Common Multiple of 448,143,771 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 448,143,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,143,771) = 1

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

GCF(448,143,771) x common factors =1 x 1 = 1

LCM(448,143,771) = ( 448 × 143 × 771 ) / 1

LCM(448,143,771) = 49393344 / 1

LCM(448,143,771) = 49393344


Lets's calculate GCF of 385,569,778

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49393344/1

Therefore the LCM of Fractions 448/385,143/569,771/778 is 49393344

Greatest Common Factor of 385,569,778 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,569,778 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Factors of 778

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

1,2,389,778

Greatest Common Factor

We found the factors 385,569,778 . The biggest common factor number is the GCF number.
So the greatest common factor 385,569,778 is 1.


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 448/385, 143/569, 771/778

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 448/385, 143/569, 771/778?

Answer: LCM of Numerators as per given numbers 448/385, 143/569, 771/778 is

LCM of Numerators i.e. for 448,143,771 is 49393344

GCF of denominators i.e. for 385,569,778 is 1.

Thus, LCM of Fractions is 49393344.Finally, LCM of Fractions for 448/385, 143/569, 771/778 is 49393344.