Least Common Multiple of 48/368, 38/299, 498/841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/368, 38/299, 498/841 quickly i.e. 75696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/368, 38/299, 498/841 is 75696.

LCM(48/368, 38/299, 498/841) = 75696

LCM of 48/368, 38/299, 498/841

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 48/368,38/299,498/841

Given numbers are 48/368,38/299,498/841

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 48,38,498

Least Common Multiple of Numerators i.e. LCM of 48,38,498 is 75696.

GCF of Denominators means GCF of 368,299,841 as per the given fractions.

GCF of 368,299,841 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,38,498

LCM of Fractions 48/368,38/299,498/841 is 75696

2 48, 38, 498
3 24, 19, 249
8, 19, 83

∴ So the LCM of the given numbers is 2 x 3 x 8 x 19 x 83 = 75696

Least Common Multiple of 48,38,498 with GCF Formula

Least Common Multiple of 48,38,498 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 48,38,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,38,498) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(48,38,498) x common factors =2 x 6 = 12

LCM(48,38,498) = ( 48 × 38 × 498 ) / 12

LCM(48,38,498) = 908352 / 12

LCM(48,38,498) = 75696


Lets's calculate GCF of 368,299,841

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75696/1

Therefore the LCM of Fractions 48/368,38/299,498/841 is 75696

Greatest Common Factor of 368,299,841 By Matching Biggest Common Factor Method

Greatest Common Factor of 368,299,841 By Matching Biggest Common Factor Method

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1,29,841

Greatest Common Factor

We found the factors 368,299,841 . The biggest common factor number is the GCF number.
So the greatest common factor 368,299,841 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 48/368, 38/299, 498/841

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 48/368, 38/299, 498/841?

Answer: LCM of Numerators as per given numbers 48/368, 38/299, 498/841 is

LCM of Numerators i.e. for 48,38,498 is 75696

GCF of denominators i.e. for 368,299,841 is 1.

Thus, LCM of Fractions is 75696.Finally, LCM of Fractions for 48/368, 38/299, 498/841 is 75696.