Least Common Multiple of 70/720, 530/818, 439/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 70/720, 530/818, 439/822 quickly i.e. 814345 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/720, 530/818, 439/822 is 814345.

LCM(70/720, 530/818, 439/822) = 814345

LCM of 70/720, 530/818, 439/822

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 70/720,530/818,439/822

Given numbers are 70/720,530/818,439/822

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 70,530,439

Least Common Multiple of Numerators i.e. LCM of 70,530,439 is 1628690.

GCF of Denominators means GCF of 720,818,822 as per the given fractions.

GCF of 720,818,822 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,530,439

LCM of Fractions 70/720,530/818,439/822 is 814345

2 70, 530, 439
5 35, 265, 439
7, 53, 439

∴ So the LCM of the given numbers is 2 x 5 x 7 x 53 x 439 = 1628690

Least Common Multiple of 70,530,439 with GCF Formula

Least Common Multiple of 70,530,439 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 70,530,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,530,439) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(70,530,439) x common factors =1 x 10 = 10

LCM(70,530,439) = ( 70 × 530 × 439 ) / 10

LCM(70,530,439) = 16286900 / 10

LCM(70,530,439) = 1628690


Lets's calculate GCF of 720,818,822

2 720, 818, 822
360, 409, 411

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1628690/2

Therefore the LCM of Fractions 70/720,530/818,439/822 is 814345

Greatest Common Factor of 720,818,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,818,822 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 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 720,818,822 . The biggest common factor number is the GCF number.
So the greatest common factor 720,818,822 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 70/720, 530/818, 439/822

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 70/720, 530/818, 439/822?

Answer: LCM of Numerators as per given numbers 70/720, 530/818, 439/822 is

LCM of Numerators i.e. for 70,530,439 is 1628690

GCF of denominators i.e. for 720,818,822 is 2.

Thus, LCM of Fractions is 814345.Finally, LCM of Fractions for 70/720, 530/818, 439/822 is 814345.