Least Common Multiple of 24/302, 595/408, 442/386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/302, 595/408, 442/386 quickly i.e. 92820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/302, 595/408, 442/386 is 92820.

LCM(24/302, 595/408, 442/386) = 92820

LCM of 24/302, 595/408, 442/386

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 24/302,595/408,442/386

Given numbers are 24/302,595/408,442/386

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 24,595,442

Least Common Multiple of Numerators i.e. LCM of 24,595,442 is 185640.

GCF of Denominators means GCF of 302,408,386 as per the given fractions.

GCF of 302,408,386 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,595,442

LCM of Fractions 24/302,595/408,442/386 is 92820

2 24, 595, 442
17 12, 595, 221
12, 35, 13

∴ So the LCM of the given numbers is 2 x 17 x 12 x 35 x 13 = 185640

Least Common Multiple of 24,595,442 with GCF Formula

Least Common Multiple of 24,595,442 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 24,595,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,595,442) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(24,595,442) x common factors =1 x 34 = 34

LCM(24,595,442) = ( 24 × 595 × 442 ) / 34

LCM(24,595,442) = 6311760 / 34

LCM(24,595,442) = 185640


Lets's calculate GCF of 302,408,386

2 302, 408, 386
151, 204, 193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 185640/2

Therefore the LCM of Fractions 24/302,595/408,442/386 is 92820

Greatest Common Factor of 302,408,386 By Matching Biggest Common Factor Method

Greatest Common Factor of 302,408,386 By Matching Biggest Common Factor Method

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Greatest Common Factor

We found the factors 302,408,386 . The biggest common factor number is the GCF number.
So the greatest common factor 302,408,386 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 24/302, 595/408, 442/386

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 24/302, 595/408, 442/386?

Answer: LCM of Numerators as per given numbers 24/302, 595/408, 442/386 is

LCM of Numerators i.e. for 24,595,442 is 185640

GCF of denominators i.e. for 302,408,386 is 2.

Thus, LCM of Fractions is 92820.Finally, LCM of Fractions for 24/302, 595/408, 442/386 is 92820.