Least Common Multiple of 80/660, 309/816, 402/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/660, 309/816, 402/472 quickly i.e. 414060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/660, 309/816, 402/472 is 414060.

LCM(80/660, 309/816, 402/472) = 414060

LCM of 80/660, 309/816, 402/472

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 80/660,309/816,402/472

Given numbers are 80/660,309/816,402/472

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 80,309,402

Least Common Multiple of Numerators i.e. LCM of 80,309,402 is 1656240.

GCF of Denominators means GCF of 660,816,472 as per the given fractions.

GCF of 660,816,472 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,309,402

LCM of Fractions 80/660,309/816,402/472 is 414060

2 80, 309, 402
3 40, 309, 201
40, 103, 67

∴ So the LCM of the given numbers is 2 x 3 x 40 x 103 x 67 = 1656240

Least Common Multiple of 80,309,402 with GCF Formula

Least Common Multiple of 80,309,402 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 80,309,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,309,402) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(80,309,402) x common factors =1 x 6 = 6

LCM(80,309,402) = ( 80 × 309 × 402 ) / 6

LCM(80,309,402) = 9937440 / 6

LCM(80,309,402) = 1656240


Lets's calculate GCF of 660,816,472

2 660, 816, 472
2 330, 408, 236
165, 204, 118

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1656240/4

Therefore the LCM of Fractions 80/660,309/816,402/472 is 414060

Greatest Common Factor of 660,816,472 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,816,472 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 660,816,472 . The biggest common factor number is the GCF number.
So the greatest common factor 660,816,472 is 4.


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 80/660, 309/816, 402/472

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 80/660, 309/816, 402/472?

Answer: LCM of Numerators as per given numbers 80/660, 309/816, 402/472 is

LCM of Numerators i.e. for 80,309,402 is 1656240

GCF of denominators i.e. for 660,816,472 is 4.

Thus, LCM of Fractions is 414060.Finally, LCM of Fractions for 80/660, 309/816, 402/472 is 414060.