Least Common Multiple of 506/43, 232/4865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 506/43, 232/4865 quickly i.e. 58696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 506/43, 232/4865 is 58696.

LCM(506/43, 232/4865) = 58696

LCM of 506/43, 232/4865

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 506/43,232/4865

Given numbers are 506/43,232/4865

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 506,232

Least Common Multiple of Numerators i.e. LCM of 506,232 is 58696.

GCF of Denominators means GCF of 43,4865 as per the given fractions.

GCF of 43,4865 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 506,232

LCM of Fractions 506/43,232/4865 is 58696

2 506, 232
253, 116

∴ So the LCM of the given numbers is 2 x 253 x 116 = 58696

Least Common Multiple of 506,232 with GCF Formula

Least Common Multiple of 506,232 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 506,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,232) = 2

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

GCF(506,232) x common factors =2 x 1 = 2

LCM(506,232) = ( 506 × 232 ) / 2

LCM(506,232) = 117392 / 2

LCM(506,232) = 58696


Lets's calculate GCF of 43,4865

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58696/1

Therefore the LCM of Fractions 506/43,232/4865 is 58696

Greatest Common Factor of 43,4865 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,4865 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 4865

List of positive integer factors of 4865 that divides 4865 without a remainder.

1,5,7,35,139,695,973,4865

Greatest Common Factor

We found the factors 43,4865 . The biggest common factor number is the GCF number.
So the greatest common factor 43,4865 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 506/43, 232/4865

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 506/43, 232/4865?

Answer: LCM of Numerators as per given numbers 506/43, 232/4865 is

LCM of Numerators i.e. for 506,232 is 58696

GCF of denominators i.e. for 43,4865 is 1.

Thus, LCM of Fractions is 58696.Finally, LCM of Fractions for 506/43, 232/4865 is 58696.