Least Common Multiple of 31/488, 4616/1020

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/488, 4616/1020 quickly i.e. 35774 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/488, 4616/1020 is 35774.

LCM(31/488, 4616/1020) = 35774

LCM of 31/488, 4616/1020

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 31/488,4616/1020

Given numbers are 31/488,4616/1020

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 31,4616

Least Common Multiple of Numerators i.e. LCM of 31,4616 is 143096.

GCF of Denominators means GCF of 488,1020 as per the given fractions.

GCF of 488,1020 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,4616

LCM of Fractions 31/488,4616/1020 is 35774

Given numbers has no common factors except 1. So, there LCM is their product i.e 143096

Least Common Multiple of 31,4616 with GCF Formula

Least Common Multiple of 31,4616 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 31,4616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,4616) = 1

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

GCF(31,4616) x common factors =1 x 1 = 1

LCM(31,4616) = ( 31 × 4616 ) / 1

LCM(31,4616) = 143096 / 1

LCM(31,4616) = 143096


Lets's calculate GCF of 488,1020

2 488, 1020
2 244, 510
122, 255

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143096/4

Therefore the LCM of Fractions 31/488,4616/1020 is 35774

Greatest Common Factor of 488,1020 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,1020 By Matching Biggest Common Factor Method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 1020

List of positive integer factors of 1020 that divides 1020 without a remainder.

1,2,3,4,5,6,10,12,15,17,20,30,34,51,60,68,85,102,170,204,255,340,510,1020

Greatest Common Factor

We found the factors 488,1020 . The biggest common factor number is the GCF number.
So the greatest common factor 488,1020 is 4.


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 31/488, 4616/1020

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 31/488, 4616/1020?

Answer: LCM of Numerators as per given numbers 31/488, 4616/1020 is

LCM of Numerators i.e. for 31,4616 is 143096

GCF of denominators i.e. for 488,1020 is 4.

Thus, LCM of Fractions is 35774.Finally, LCM of Fractions for 31/488, 4616/1020 is 35774.