Least Common Multiple of 142/53, 285/4910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 142/53, 285/4910 quickly i.e. 40470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 142/53, 285/4910 is 40470.

LCM(142/53, 285/4910) = 40470

LCM of 142/53, 285/4910

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 142/53,285/4910

Given numbers are 142/53,285/4910

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 142,285

Least Common Multiple of Numerators i.e. LCM of 142,285 is 40470.

GCF of Denominators means GCF of 53,4910 as per the given fractions.

GCF of 53,4910 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 142,285

LCM of Fractions 142/53,285/4910 is 40470

Given numbers has no common factors except 1. So, there LCM is their product i.e 40470

Least Common Multiple of 142,285 with GCF Formula

Least Common Multiple of 142,285 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 142,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,285) = 1

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

GCF(142,285) x common factors =1 x 1 = 1

LCM(142,285) = ( 142 × 285 ) / 1

LCM(142,285) = 40470 / 1

LCM(142,285) = 40470


Lets's calculate GCF of 53,4910

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40470/1

Therefore the LCM of Fractions 142/53,285/4910 is 40470

Greatest Common Factor of 53,4910 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,4910 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 4910

List of positive integer factors of 4910 that divides 4910 without a remainder.

1,2,5,10,491,982,2455,4910

Greatest Common Factor

We found the factors 53,4910 . The biggest common factor number is the GCF number.
So the greatest common factor 53,4910 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 142/53, 285/4910

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 142/53, 285/4910?

Answer: LCM of Numerators as per given numbers 142/53, 285/4910 is

LCM of Numerators i.e. for 142,285 is 40470

GCF of denominators i.e. for 53,4910 is 1.

Thus, LCM of Fractions is 40470.Finally, LCM of Fractions for 142/53, 285/4910 is 40470.