Least Common Multiple of 508/920, 3848/8133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 508/920, 3848/8133 quickly i.e. 488696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 508/920, 3848/8133 is 488696.

LCM(508/920, 3848/8133) = 488696

LCM of 508/920, 3848/8133

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 508/920,3848/8133

Given numbers are 508/920,3848/8133

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 508,3848

Least Common Multiple of Numerators i.e. LCM of 508,3848 is 488696.

GCF of Denominators means GCF of 920,8133 as per the given fractions.

GCF of 920,8133 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 508,3848

LCM of Fractions 508/920,3848/8133 is 488696

2 508, 3848
2 254, 1924
127, 962

∴ So the LCM of the given numbers is 2 x 2 x 127 x 962 = 488696

Least Common Multiple of 508,3848 with GCF Formula

Least Common Multiple of 508,3848 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 508,3848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,3848) = 4

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

GCF(508,3848) x common factors =4 x 1 = 4

LCM(508,3848) = ( 508 × 3848 ) / 4

LCM(508,3848) = 1954784 / 4

LCM(508,3848) = 488696


Lets's calculate GCF of 920,8133

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 488696/1

Therefore the LCM of Fractions 508/920,3848/8133 is 488696

Greatest Common Factor of 920,8133 By Matching Biggest Common Factor Method

Greatest Common Factor of 920,8133 By Matching Biggest Common Factor Method

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 8133

List of positive integer factors of 8133 that divides 8133 without a remainder.

1,3,2711,8133

Greatest Common Factor

We found the factors 920,8133 . The biggest common factor number is the GCF number.
So the greatest common factor 920,8133 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 508/920, 3848/8133

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 508/920, 3848/8133?

Answer: LCM of Numerators as per given numbers 508/920, 3848/8133 is

LCM of Numerators i.e. for 508,3848 is 488696

GCF of denominators i.e. for 920,8133 is 1.

Thus, LCM of Fractions is 488696.Finally, LCM of Fractions for 508/920, 3848/8133 is 488696.