Least Common Multiple of 71/720, 212/286, 921/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/720, 212/286, 921/649 quickly i.e. 13862892 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/720, 212/286, 921/649 is 13862892.

LCM(71/720, 212/286, 921/649) = 13862892

LCM of 71/720, 212/286, 921/649

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 71/720,212/286,921/649

Given numbers are 71/720,212/286,921/649

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 71,212,921

Least Common Multiple of Numerators i.e. LCM of 71,212,921 is 13862892.

GCF of Denominators means GCF of 720,286,649 as per the given fractions.

GCF of 720,286,649 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,212,921

LCM of Fractions 71/720,212/286,921/649 is 13862892

Given numbers has no common factors except 1. So, there LCM is their product i.e 13862892

Least Common Multiple of 71,212,921 with GCF Formula

Least Common Multiple of 71,212,921 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 71,212,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,212,921) = 1

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

GCF(71,212,921) x common factors =1 x 1 = 1

LCM(71,212,921) = ( 71 × 212 × 921 ) / 1

LCM(71,212,921) = 13862892 / 1

LCM(71,212,921) = 13862892


Lets's calculate GCF of 720,286,649

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13862892/1

Therefore the LCM of Fractions 71/720,212/286,921/649 is 13862892

Greatest Common Factor of 720,286,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,286,649 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 720,286,649 . The biggest common factor number is the GCF number.
So the greatest common factor 720,286,649 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 71/720, 212/286, 921/649

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 71/720, 212/286, 921/649?

Answer: LCM of Numerators as per given numbers 71/720, 212/286, 921/649 is

LCM of Numerators i.e. for 71,212,921 is 13862892

GCF of denominators i.e. for 720,286,649 is 1.

Thus, LCM of Fractions is 13862892.Finally, LCM of Fractions for 71/720, 212/286, 921/649 is 13862892.