Least Common Multiple of 720/455, 556/571, 562/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 720/455, 556/571, 562/355 quickly i.e. 28122480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 720/455, 556/571, 562/355 is 28122480.

LCM(720/455, 556/571, 562/355) = 28122480

LCM of 720/455, 556/571, 562/355

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 720/455,556/571,562/355

Given numbers are 720/455,556/571,562/355

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 720,556,562

Least Common Multiple of Numerators i.e. LCM of 720,556,562 is 28122480.

GCF of Denominators means GCF of 455,571,355 as per the given fractions.

GCF of 455,571,355 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 720,556,562

LCM of Fractions 720/455,556/571,562/355 is 28122480

2 720, 556, 562
2 360, 278, 281
180, 139, 281

∴ So the LCM of the given numbers is 2 x 2 x 180 x 139 x 281 = 28122480

Least Common Multiple of 720,556,562 with GCF Formula

Least Common Multiple of 720,556,562 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 720,556,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,556,562) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(720,556,562) x common factors =2 x 4 = 8

LCM(720,556,562) = ( 720 × 556 × 562 ) / 8

LCM(720,556,562) = 224979840 / 8

LCM(720,556,562) = 28122480


Lets's calculate GCF of 455,571,355

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28122480/1

Therefore the LCM of Fractions 720/455,556/571,562/355 is 28122480

Greatest Common Factor of 455,571,355 By Matching Biggest Common Factor Method

Greatest Common Factor of 455,571,355 By Matching Biggest Common Factor Method

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Factors of 571

List of positive integer factors of 571 that divides 571 without a remainder.

1,571

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Greatest Common Factor

We found the factors 455,571,355 . The biggest common factor number is the GCF number.
So the greatest common factor 455,571,355 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 720/455, 556/571, 562/355

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 720/455, 556/571, 562/355?

Answer: LCM of Numerators as per given numbers 720/455, 556/571, 562/355 is

LCM of Numerators i.e. for 720,556,562 is 28122480

GCF of denominators i.e. for 455,571,355 is 1.

Thus, LCM of Fractions is 28122480.Finally, LCM of Fractions for 720/455, 556/571, 562/355 is 28122480.