Least Common Multiple of 728/350, 877/701, 571/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 728/350, 877/701, 571/366 quickly i.e. 364558376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 728/350, 877/701, 571/366 is 364558376.

LCM(728/350, 877/701, 571/366) = 364558376

LCM of 728/350, 877/701, 571/366

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 728/350,877/701,571/366

Given numbers are 728/350,877/701,571/366

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 728,877,571

Least Common Multiple of Numerators i.e. LCM of 728,877,571 is 364558376.

GCF of Denominators means GCF of 350,701,366 as per the given fractions.

GCF of 350,701,366 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 728,877,571

LCM of Fractions 728/350,877/701,571/366 is 364558376

Given numbers has no common factors except 1. So, there LCM is their product i.e 364558376

Least Common Multiple of 728,877,571 with GCF Formula

Least Common Multiple of 728,877,571 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 728,877,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,877,571) = 1

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

GCF(728,877,571) x common factors =1 x 1 = 1

LCM(728,877,571) = ( 728 × 877 × 571 ) / 1

LCM(728,877,571) = 364558376 / 1

LCM(728,877,571) = 364558376


Lets's calculate GCF of 350,701,366

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 364558376/1

Therefore the LCM of Fractions 728/350,877/701,571/366 is 364558376

Greatest Common Factor of 350,701,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,701,366 By Matching Biggest Common Factor Method

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 350,701,366 . The biggest common factor number is the GCF number.
So the greatest common factor 350,701,366 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 728/350, 877/701, 571/366

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 728/350, 877/701, 571/366?

Answer: LCM of Numerators as per given numbers 728/350, 877/701, 571/366 is

LCM of Numerators i.e. for 728,877,571 is 364558376

GCF of denominators i.e. for 350,701,366 is 1.

Thus, LCM of Fractions is 364558376.Finally, LCM of Fractions for 728/350, 877/701, 571/366 is 364558376.