Least Common Multiple of 535/75, 482/2196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 535/75, 482/2196 quickly i.e. 257870/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 535/75, 482/2196 is 257870/3.

LCM(535/75, 482/2196) = 257870/3

LCM of 535/75, 482/2196

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 535/75,482/2196

Given numbers are 535/75,482/2196

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 535,482

Least Common Multiple of Numerators i.e. LCM of 535,482 is 257870.

GCF of Denominators means GCF of 75,2196 as per the given fractions.

GCF of 75,2196 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 535,482

LCM of Fractions 535/75,482/2196 is 257870/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 257870

Least Common Multiple of 535,482 with GCF Formula

Least Common Multiple of 535,482 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 535,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(535,482) = 1

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

GCF(535,482) x common factors =1 x 1 = 1

LCM(535,482) = ( 535 × 482 ) / 1

LCM(535,482) = 257870 / 1

LCM(535,482) = 257870


Lets's calculate GCF of 75,2196

3 75, 2196
25, 732

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 257870/3

Therefore the LCM of Fractions 535/75,482/2196 is 257870/3

Greatest Common Factor of 75,2196 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,2196 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 2196

List of positive integer factors of 2196 that divides 2196 without a remainder.

1,2,3,4,6,9,12,18,36,61,122,183,244,366,549,732,1098,2196

Greatest Common Factor

We found the factors 75,2196 . The biggest common factor number is the GCF number.
So the greatest common factor 75,2196 is 3.


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 535/75, 482/2196

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 535/75, 482/2196?

Answer: LCM of Numerators as per given numbers 535/75, 482/2196 is

LCM of Numerators i.e. for 535,482 is 257870

GCF of denominators i.e. for 75,2196 is 3.

Thus, LCM of Fractions is 257870/3.Finally, LCM of Fractions for 535/75, 482/2196 is 257870/3.