Least Common Multiple of 29/48, 82/669, 273/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/48, 82/669, 273/525 quickly i.e. 216398 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/48, 82/669, 273/525 is 216398.

LCM(29/48, 82/669, 273/525) = 216398

LCM of 29/48, 82/669, 273/525

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 29/48,82/669,273/525

Given numbers are 29/48,82/669,273/525

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 29,82,273

Least Common Multiple of Numerators i.e. LCM of 29,82,273 is 649194.

GCF of Denominators means GCF of 48,669,525 as per the given fractions.

GCF of 48,669,525 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,82,273

LCM of Fractions 29/48,82/669,273/525 is 216398

Given numbers has no common factors except 1. So, there LCM is their product i.e 649194

Least Common Multiple of 29,82,273 with GCF Formula

Least Common Multiple of 29,82,273 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 29,82,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,82,273) = 1

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

GCF(29,82,273) x common factors =1 x 1 = 1

LCM(29,82,273) = ( 29 × 82 × 273 ) / 1

LCM(29,82,273) = 649194 / 1

LCM(29,82,273) = 649194


Lets's calculate GCF of 48,669,525

3 48, 669, 525
16, 223, 175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 649194/3

Therefore the LCM of Fractions 29/48,82/669,273/525 is 216398

Greatest Common Factor of 48,669,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,669,525 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

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

Greatest Common Factor

We found the factors 48,669,525 . The biggest common factor number is the GCF number.
So the greatest common factor 48,669,525 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 29/48, 82/669, 273/525

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 29/48, 82/669, 273/525?

Answer: LCM of Numerators as per given numbers 29/48, 82/669, 273/525 is

LCM of Numerators i.e. for 29,82,273 is 649194

GCF of denominators i.e. for 48,669,525 is 3.

Thus, LCM of Fractions is 216398.Finally, LCM of Fractions for 29/48, 82/669, 273/525 is 216398.