Least Common Multiple of 82/710, 724/400, 814/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/710, 724/400, 814/330 quickly i.e. 12081388/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/710, 724/400, 814/330 is 12081388/10.

LCM(82/710, 724/400, 814/330) = 12081388/10

LCM of 82/710, 724/400, 814/330

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 82/710,724/400,814/330

Given numbers are 82/710,724/400,814/330

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 82,724,814

Least Common Multiple of Numerators i.e. LCM of 82,724,814 is 12081388.

GCF of Denominators means GCF of 710,400,330 as per the given fractions.

GCF of 710,400,330 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,724,814

LCM of Fractions 82/710,724/400,814/330 is 12081388/10

2 82, 724, 814
41, 362, 407

∴ So the LCM of the given numbers is 2 x 41 x 362 x 407 = 12081388

Least Common Multiple of 82,724,814 with GCF Formula

Least Common Multiple of 82,724,814 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 82,724,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,724,814) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(82,724,814) x common factors =2 x 2 = 4

LCM(82,724,814) = ( 82 × 724 × 814 ) / 4

LCM(82,724,814) = 48325552 / 4

LCM(82,724,814) = 12081388


Lets's calculate GCF of 710,400,330

2 710, 400, 330
5 355, 200, 165
71, 40, 33

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12081388/10

Therefore the LCM of Fractions 82/710,724/400,814/330 is 12081388/10

Greatest Common Factor of 710,400,330 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,400,330 By Matching Biggest Common Factor Method

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Greatest Common Factor

We found the factors 710,400,330 . The biggest common factor number is the GCF number.
So the greatest common factor 710,400,330 is 10.


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 82/710, 724/400, 814/330

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 82/710, 724/400, 814/330?

Answer: LCM of Numerators as per given numbers 82/710, 724/400, 814/330 is

LCM of Numerators i.e. for 82,724,814 is 12081388

GCF of denominators i.e. for 710,400,330 is 10.

Thus, LCM of Fractions is 12081388/10.Finally, LCM of Fractions for 82/710, 724/400, 814/330 is 12081388/10.