Least Common Multiple of 74/24, 843/86, 535/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/24, 843/86, 535/300 quickly i.e. 16687185 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/24, 843/86, 535/300 is 16687185.

LCM(74/24, 843/86, 535/300) = 16687185

LCM of 74/24, 843/86, 535/300

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 74/24,843/86,535/300

Given numbers are 74/24,843/86,535/300

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 74,843,535

Least Common Multiple of Numerators i.e. LCM of 74,843,535 is 33374370.

GCF of Denominators means GCF of 24,86,300 as per the given fractions.

GCF of 24,86,300 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,843,535

LCM of Fractions 74/24,843/86,535/300 is 16687185

Given numbers has no common factors except 1. So, there LCM is their product i.e 33374370

Least Common Multiple of 74,843,535 with GCF Formula

Least Common Multiple of 74,843,535 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 74,843,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,843,535) = 1

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

GCF(74,843,535) x common factors =1 x 1 = 1

LCM(74,843,535) = ( 74 × 843 × 535 ) / 1

LCM(74,843,535) = 33374370 / 1

LCM(74,843,535) = 33374370


Lets's calculate GCF of 24,86,300

2 24, 86, 300
12, 43, 150

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33374370/2

Therefore the LCM of Fractions 74/24,843/86,535/300 is 16687185

Greatest Common Factor of 24,86,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,86,300 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 24,86,300 . The biggest common factor number is the GCF number.
So the greatest common factor 24,86,300 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 74/24, 843/86, 535/300

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 74/24, 843/86, 535/300?

Answer: LCM of Numerators as per given numbers 74/24, 843/86, 535/300 is

LCM of Numerators i.e. for 74,843,535 is 33374370

GCF of denominators i.e. for 24,86,300 is 2.

Thus, LCM of Fractions is 16687185.Finally, LCM of Fractions for 74/24, 843/86, 535/300 is 16687185.