Least Common Multiple of 28/342, 96/246, 363/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/342, 96/246, 363/488 quickly i.e. 40656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/342, 96/246, 363/488 is 40656.

LCM(28/342, 96/246, 363/488) = 40656

LCM of 28/342, 96/246, 363/488

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 28/342,96/246,363/488

Given numbers are 28/342,96/246,363/488

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 28,96,363

Least Common Multiple of Numerators i.e. LCM of 28,96,363 is 81312.

GCF of Denominators means GCF of 342,246,488 as per the given fractions.

GCF of 342,246,488 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,96,363

LCM of Fractions 28/342,96/246,363/488 is 40656

2 28, 96, 363
2 14, 48, 363
3 7, 24, 363
7, 8, 121

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 8 x 121 = 81312

Least Common Multiple of 28,96,363 with GCF Formula

Least Common Multiple of 28,96,363 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 28,96,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,96,363) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(28,96,363) x common factors =1 x 12 = 12

LCM(28,96,363) = ( 28 × 96 × 363 ) / 12

LCM(28,96,363) = 975744 / 12

LCM(28,96,363) = 81312


Lets's calculate GCF of 342,246,488

2 342, 246, 488
171, 123, 244

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81312/2

Therefore the LCM of Fractions 28/342,96/246,363/488 is 40656

Greatest Common Factor of 342,246,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,246,488 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 342,246,488 . The biggest common factor number is the GCF number.
So the greatest common factor 342,246,488 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 28/342, 96/246, 363/488

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 28/342, 96/246, 363/488?

Answer: LCM of Numerators as per given numbers 28/342, 96/246, 363/488 is

LCM of Numerators i.e. for 28,96,363 is 81312

GCF of denominators i.e. for 342,246,488 is 2.

Thus, LCM of Fractions is 40656.Finally, LCM of Fractions for 28/342, 96/246, 363/488 is 40656.