Least Common Multiple of 24/929, 3574/3794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/929, 3574/3794 quickly i.e. 42888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/929, 3574/3794 is 42888.

LCM(24/929, 3574/3794) = 42888

LCM of 24/929, 3574/3794

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 24/929,3574/3794

Given numbers are 24/929,3574/3794

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 24,3574

Least Common Multiple of Numerators i.e. LCM of 24,3574 is 42888.

GCF of Denominators means GCF of 929,3794 as per the given fractions.

GCF of 929,3794 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,3574

LCM of Fractions 24/929,3574/3794 is 42888

2 24, 3574
12, 1787

∴ So the LCM of the given numbers is 2 x 12 x 1787 = 42888

Least Common Multiple of 24,3574 with GCF Formula

Least Common Multiple of 24,3574 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 24,3574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,3574) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(24,3574) x common factors =2 x 1 = 2

LCM(24,3574) = ( 24 × 3574 ) / 2

LCM(24,3574) = 85776 / 2

LCM(24,3574) = 42888


Lets's calculate GCF of 929,3794

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42888/1

Therefore the LCM of Fractions 24/929,3574/3794 is 42888

Greatest Common Factor of 929,3794 By Matching Biggest Common Factor Method

Greatest Common Factor of 929,3794 By Matching Biggest Common Factor Method

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Factors of 3794

List of positive integer factors of 3794 that divides 3794 without a remainder.

1,2,7,14,271,542,1897,3794

Greatest Common Factor

We found the factors 929,3794 . The biggest common factor number is the GCF number.
So the greatest common factor 929,3794 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 24/929, 3574/3794

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 24/929, 3574/3794?

Answer: LCM of Numerators as per given numbers 24/929, 3574/3794 is

LCM of Numerators i.e. for 24,3574 is 42888

GCF of denominators i.e. for 929,3794 is 1.

Thus, LCM of Fractions is 42888.Finally, LCM of Fractions for 24/929, 3574/3794 is 42888.