Least Common Multiple of 82/466, 92/388, 282/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/466, 92/388, 282/448 quickly i.e. 265926 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/466, 92/388, 282/448 is 265926.

LCM(82/466, 92/388, 282/448) = 265926

LCM of 82/466, 92/388, 282/448

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 82/466,92/388,282/448

Given numbers are 82/466,92/388,282/448

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 82,92,282

Least Common Multiple of Numerators i.e. LCM of 82,92,282 is 531852.

GCF of Denominators means GCF of 466,388,448 as per the given fractions.

GCF of 466,388,448 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,92,282

LCM of Fractions 82/466,92/388,282/448 is 265926

2 82, 92, 282
41, 46, 141

∴ So the LCM of the given numbers is 2 x 41 x 46 x 141 = 531852

Least Common Multiple of 82,92,282 with GCF Formula

Least Common Multiple of 82,92,282 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 82,92,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,92,282) = 2

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

GCF(82,92,282) x common factors =2 x 2 = 4

LCM(82,92,282) = ( 82 × 92 × 282 ) / 4

LCM(82,92,282) = 2127408 / 4

LCM(82,92,282) = 531852


Lets's calculate GCF of 466,388,448

2 466, 388, 448
233, 194, 224

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 531852/2

Therefore the LCM of Fractions 82/466,92/388,282/448 is 265926

Greatest Common Factor of 466,388,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,388,448 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Greatest Common Factor

We found the factors 466,388,448 . The biggest common factor number is the GCF number.
So the greatest common factor 466,388,448 is 2.


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 82/466, 92/388, 282/448

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 82/466, 92/388, 282/448?

Answer: LCM of Numerators as per given numbers 82/466, 92/388, 282/448 is

LCM of Numerators i.e. for 82,92,282 is 531852

GCF of denominators i.e. for 466,388,448 is 2.

Thus, LCM of Fractions is 265926.Finally, LCM of Fractions for 82/466, 92/388, 282/448 is 265926.