Least Common Multiple of 24/60, 34/864, 238/803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/60, 34/864, 238/803 quickly i.e. 2856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/60, 34/864, 238/803 is 2856.

LCM(24/60, 34/864, 238/803) = 2856

LCM of 24/60, 34/864, 238/803

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 24/60,34/864,238/803

Given numbers are 24/60,34/864,238/803

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 24,34,238

Least Common Multiple of Numerators i.e. LCM of 24,34,238 is 2856.

GCF of Denominators means GCF of 60,864,803 as per the given fractions.

GCF of 60,864,803 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,34,238

LCM of Fractions 24/60,34/864,238/803 is 2856

2 24, 34, 238
17 12, 17, 119
12, 1, 7

∴ So the LCM of the given numbers is 2 x 17 x 12 x 1 x 7 = 2856

Least Common Multiple of 24,34,238 with GCF Formula

Least Common Multiple of 24,34,238 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 24,34,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,34,238) = 2

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

GCF(24,34,238) x common factors =2 x 34 = 68

LCM(24,34,238) = ( 24 × 34 × 238 ) / 68

LCM(24,34,238) = 194208 / 68

LCM(24,34,238) = 2856


Lets's calculate GCF of 60,864,803

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2856/1

Therefore the LCM of Fractions 24/60,34/864,238/803 is 2856

Greatest Common Factor of 60,864,803 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,864,803 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Greatest Common Factor

We found the factors 60,864,803 . The biggest common factor number is the GCF number.
So the greatest common factor 60,864,803 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 24/60, 34/864, 238/803

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 24/60, 34/864, 238/803?

Answer: LCM of Numerators as per given numbers 24/60, 34/864, 238/803 is

LCM of Numerators i.e. for 24,34,238 is 2856

GCF of denominators i.e. for 60,864,803 is 1.

Thus, LCM of Fractions is 2856.Finally, LCM of Fractions for 24/60, 34/864, 238/803 is 2856.