Least Common Multiple of 535/28, 512/32, 736/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 535/28, 512/32, 736/825 quickly i.e. 6300160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 535/28, 512/32, 736/825 is 6300160.

LCM(535/28, 512/32, 736/825) = 6300160

LCM of 535/28, 512/32, 736/825

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 535/28,512/32,736/825

Given numbers are 535/28,512/32,736/825

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 535,512,736

Least Common Multiple of Numerators i.e. LCM of 535,512,736 is 6300160.

GCF of Denominators means GCF of 28,32,825 as per the given fractions.

GCF of 28,32,825 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 535,512,736

LCM of Fractions 535/28,512/32,736/825 is 6300160

2 535, 512, 736
2 535, 256, 368
2 535, 128, 184
2 535, 64, 92
2 535, 32, 46
535, 16, 23

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 535 x 16 x 23 = 6300160

Least Common Multiple of 535,512,736 with GCF Formula

Least Common Multiple of 535,512,736 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 535,512,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(535,512,736) = 1

common factors(in case of two or more numbers have common factors) = 32

GCF(535,512,736) x common factors =1 x 32 = 32

LCM(535,512,736) = ( 535 × 512 × 736 ) / 32

LCM(535,512,736) = 201605120 / 32

LCM(535,512,736) = 6300160


Lets's calculate GCF of 28,32,825

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6300160/1

Therefore the LCM of Fractions 535/28,512/32,736/825 is 6300160

Greatest Common Factor of 28,32,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,32,825 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 28,32,825 . The biggest common factor number is the GCF number.
So the greatest common factor 28,32,825 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 535/28, 512/32, 736/825

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 535/28, 512/32, 736/825?

Answer: LCM of Numerators as per given numbers 535/28, 512/32, 736/825 is

LCM of Numerators i.e. for 535,512,736 is 6300160

GCF of denominators i.e. for 28,32,825 is 1.

Thus, LCM of Fractions is 6300160.Finally, LCM of Fractions for 535/28, 512/32, 736/825 is 6300160.