Least Common Multiple of 82/708, 763/525, 506/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/708, 763/525, 506/729 quickly i.e. 15829198/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/708, 763/525, 506/729 is 15829198/3.

LCM(82/708, 763/525, 506/729) = 15829198/3

LCM of 82/708, 763/525, 506/729

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 82/708,763/525,506/729

Given numbers are 82/708,763/525,506/729

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 82,763,506

Least Common Multiple of Numerators i.e. LCM of 82,763,506 is 15829198.

GCF of Denominators means GCF of 708,525,729 as per the given fractions.

GCF of 708,525,729 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,763,506

LCM of Fractions 82/708,763/525,506/729 is 15829198/3

2 82, 763, 506
41, 763, 253

∴ So the LCM of the given numbers is 2 x 41 x 763 x 253 = 15829198

Least Common Multiple of 82,763,506 with GCF Formula

Least Common Multiple of 82,763,506 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 82,763,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,763,506) = 1

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

GCF(82,763,506) x common factors =1 x 2 = 2

LCM(82,763,506) = ( 82 × 763 × 506 ) / 2

LCM(82,763,506) = 31658396 / 2

LCM(82,763,506) = 15829198


Lets's calculate GCF of 708,525,729

3 708, 525, 729
236, 175, 243

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15829198/3

Therefore the LCM of Fractions 82/708,763/525,506/729 is 15829198/3

Greatest Common Factor of 708,525,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,525,729 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Greatest Common Factor

We found the factors 708,525,729 . The biggest common factor number is the GCF number.
So the greatest common factor 708,525,729 is 3.


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 82/708, 763/525, 506/729

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 82/708, 763/525, 506/729?

Answer: LCM of Numerators as per given numbers 82/708, 763/525, 506/729 is

LCM of Numerators i.e. for 82,763,506 is 15829198

GCF of denominators i.e. for 708,525,729 is 3.

Thus, LCM of Fractions is 15829198/3.Finally, LCM of Fractions for 82/708, 763/525, 506/729 is 15829198/3.