Least Common Multiple of 328/527, 7620/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 328/527, 7620/729 quickly i.e. 624840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 328/527, 7620/729 is 624840.

LCM(328/527, 7620/729) = 624840

LCM of 328/527, 7620/729

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 328/527,7620/729

Given numbers are 328/527,7620/729

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 328,7620

Least Common Multiple of Numerators i.e. LCM of 328,7620 is 624840.

GCF of Denominators means GCF of 527,729 as per the given fractions.

GCF of 527,729 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 328,7620

LCM of Fractions 328/527,7620/729 is 624840

2 328, 7620
2 164, 3810
82, 1905

∴ So the LCM of the given numbers is 2 x 2 x 82 x 1905 = 624840

Least Common Multiple of 328,7620 with GCF Formula

Least Common Multiple of 328,7620 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 328,7620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,7620) = 4

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

GCF(328,7620) x common factors =4 x 1 = 4

LCM(328,7620) = ( 328 × 7620 ) / 4

LCM(328,7620) = 2499360 / 4

LCM(328,7620) = 624840


Lets's calculate GCF of 527,729

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 624840/1

Therefore the LCM of Fractions 328/527,7620/729 is 624840

Greatest Common Factor of 527,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 527,729 By Matching Biggest Common Factor Method

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

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 527,729 . The biggest common factor number is the GCF number.
So the greatest common factor 527,729 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 328/527, 7620/729

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 328/527, 7620/729?

Answer: LCM of Numerators as per given numbers 328/527, 7620/729 is

LCM of Numerators i.e. for 328,7620 is 624840

GCF of denominators i.e. for 527,729 is 1.

Thus, LCM of Fractions is 624840.Finally, LCM of Fractions for 328/527, 7620/729 is 624840.