Least Common Multiple of 508/99, 136/20, 285/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 508/99, 136/20, 285/130 quickly i.e. 4922520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 508/99, 136/20, 285/130 is 4922520.

LCM(508/99, 136/20, 285/130) = 4922520

LCM of 508/99, 136/20, 285/130

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 508/99,136/20,285/130

Given numbers are 508/99,136/20,285/130

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 508,136,285

Least Common Multiple of Numerators i.e. LCM of 508,136,285 is 4922520.

GCF of Denominators means GCF of 99,20,130 as per the given fractions.

GCF of 99,20,130 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 508,136,285

LCM of Fractions 508/99,136/20,285/130 is 4922520

2 508, 136, 285
2 254, 68, 285
127, 34, 285

∴ So the LCM of the given numbers is 2 x 2 x 127 x 34 x 285 = 4922520

Least Common Multiple of 508,136,285 with GCF Formula

Least Common Multiple of 508,136,285 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 508,136,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,136,285) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(508,136,285) x common factors =1 x 4 = 4

LCM(508,136,285) = ( 508 × 136 × 285 ) / 4

LCM(508,136,285) = 19690080 / 4

LCM(508,136,285) = 4922520


Lets's calculate GCF of 99,20,130

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4922520/1

Therefore the LCM of Fractions 508/99,136/20,285/130 is 4922520

Greatest Common Factor of 99,20,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,20,130 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 99,20,130 . The biggest common factor number is the GCF number.
So the greatest common factor 99,20,130 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 508/99, 136/20, 285/130

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 508/99, 136/20, 285/130?

Answer: LCM of Numerators as per given numbers 508/99, 136/20, 285/130 is

LCM of Numerators i.e. for 508,136,285 is 4922520

GCF of denominators i.e. for 99,20,130 is 1.

Thus, LCM of Fractions is 4922520.Finally, LCM of Fractions for 508/99, 136/20, 285/130 is 4922520.