Least Common Multiple of 82/384, 99/741, 952/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/384, 99/741, 952/297 quickly i.e. 1288056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/384, 99/741, 952/297 is 1288056.

LCM(82/384, 99/741, 952/297) = 1288056

LCM of 82/384, 99/741, 952/297

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 82/384,99/741,952/297

Given numbers are 82/384,99/741,952/297

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 82,99,952

Least Common Multiple of Numerators i.e. LCM of 82,99,952 is 3864168.

GCF of Denominators means GCF of 384,741,297 as per the given fractions.

GCF of 384,741,297 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,99,952

LCM of Fractions 82/384,99/741,952/297 is 1288056

2 82, 99, 952
41, 99, 476

∴ So the LCM of the given numbers is 2 x 41 x 99 x 476 = 3864168

Least Common Multiple of 82,99,952 with GCF Formula

Least Common Multiple of 82,99,952 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 82,99,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,99,952) = 1

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

GCF(82,99,952) x common factors =1 x 2 = 2

LCM(82,99,952) = ( 82 × 99 × 952 ) / 2

LCM(82,99,952) = 7728336 / 2

LCM(82,99,952) = 3864168


Lets's calculate GCF of 384,741,297

3 384, 741, 297
128, 247, 99

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3864168/3

Therefore the LCM of Fractions 82/384,99/741,952/297 is 1288056

Greatest Common Factor of 384,741,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,741,297 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 384,741,297 . The biggest common factor number is the GCF number.
So the greatest common factor 384,741,297 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 82/384, 99/741, 952/297

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 82/384, 99/741, 952/297?

Answer: LCM of Numerators as per given numbers 82/384, 99/741, 952/297 is

LCM of Numerators i.e. for 82,99,952 is 3864168

GCF of denominators i.e. for 384,741,297 is 3.

Thus, LCM of Fractions is 1288056.Finally, LCM of Fractions for 82/384, 99/741, 952/297 is 1288056.