Least Common Multiple of 488/52, 105/4805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 488/52, 105/4805 quickly i.e. 51240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 488/52, 105/4805 is 51240.

LCM(488/52, 105/4805) = 51240

LCM of 488/52, 105/4805

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 488/52,105/4805

Given numbers are 488/52,105/4805

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 488,105

Least Common Multiple of Numerators i.e. LCM of 488,105 is 51240.

GCF of Denominators means GCF of 52,4805 as per the given fractions.

GCF of 52,4805 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 488,105

LCM of Fractions 488/52,105/4805 is 51240

Given numbers has no common factors except 1. So, there LCM is their product i.e 51240

Least Common Multiple of 488,105 with GCF Formula

Least Common Multiple of 488,105 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 488,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,105) = 1

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

GCF(488,105) x common factors =1 x 1 = 1

LCM(488,105) = ( 488 × 105 ) / 1

LCM(488,105) = 51240 / 1

LCM(488,105) = 51240


Lets's calculate GCF of 52,4805

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51240/1

Therefore the LCM of Fractions 488/52,105/4805 is 51240

Greatest Common Factor of 52,4805 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,4805 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 4805

List of positive integer factors of 4805 that divides 4805 without a remainder.

1,5,31,155,961,4805

Greatest Common Factor

We found the factors 52,4805 . The biggest common factor number is the GCF number.
So the greatest common factor 52,4805 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 488/52, 105/4805

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 488/52, 105/4805?

Answer: LCM of Numerators as per given numbers 488/52, 105/4805 is

LCM of Numerators i.e. for 488,105 is 51240

GCF of denominators i.e. for 52,4805 is 1.

Thus, LCM of Fractions is 51240.Finally, LCM of Fractions for 488/52, 105/4805 is 51240.