Least Common Multiple of 24/349, 11/451, 675/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/349, 11/451, 675/794 quickly i.e. 59400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/349, 11/451, 675/794 is 59400.

LCM(24/349, 11/451, 675/794) = 59400

LCM of 24/349, 11/451, 675/794

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 24/349,11/451,675/794

Given numbers are 24/349,11/451,675/794

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 24,11,675

Least Common Multiple of Numerators i.e. LCM of 24,11,675 is 59400.

GCF of Denominators means GCF of 349,451,794 as per the given fractions.

GCF of 349,451,794 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,11,675

LCM of Fractions 24/349,11/451,675/794 is 59400

3 24, 11, 675
8, 11, 225

∴ So the LCM of the given numbers is 3 x 8 x 11 x 225 = 59400

Least Common Multiple of 24,11,675 with GCF Formula

Least Common Multiple of 24,11,675 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 24,11,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,11,675) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(24,11,675) x common factors =1 x 3 = 3

LCM(24,11,675) = ( 24 × 11 × 675 ) / 3

LCM(24,11,675) = 178200 / 3

LCM(24,11,675) = 59400


Lets's calculate GCF of 349,451,794

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59400/1

Therefore the LCM of Fractions 24/349,11/451,675/794 is 59400

Greatest Common Factor of 349,451,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 349,451,794 By Matching Biggest Common Factor Method

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors 349,451,794 . The biggest common factor number is the GCF number.
So the greatest common factor 349,451,794 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 24/349, 11/451, 675/794

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 24/349, 11/451, 675/794?

Answer: LCM of Numerators as per given numbers 24/349, 11/451, 675/794 is

LCM of Numerators i.e. for 24,11,675 is 59400

GCF of denominators i.e. for 349,451,794 is 1.

Thus, LCM of Fractions is 59400.Finally, LCM of Fractions for 24/349, 11/451, 675/794 is 59400.