Least Common Multiple of 486/20, 343/5925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 486/20, 343/5925 quickly i.e. 166698/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 486/20, 343/5925 is 166698/5.

LCM(486/20, 343/5925) = 166698/5

LCM of 486/20, 343/5925

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 486/20,343/5925

Given numbers are 486/20,343/5925

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 486,343

Least Common Multiple of Numerators i.e. LCM of 486,343 is 166698.

GCF of Denominators means GCF of 20,5925 as per the given fractions.

GCF of 20,5925 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 486,343

LCM of Fractions 486/20,343/5925 is 166698/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 166698

Least Common Multiple of 486,343 with GCF Formula

Least Common Multiple of 486,343 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 486,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,343) = 1

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

GCF(486,343) x common factors =1 x 1 = 1

LCM(486,343) = ( 486 × 343 ) / 1

LCM(486,343) = 166698 / 1

LCM(486,343) = 166698


Lets's calculate GCF of 20,5925

5 20, 5925
4, 1185

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166698/5

Therefore the LCM of Fractions 486/20,343/5925 is 166698/5

Greatest Common Factor of 20,5925 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,5925 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 5925

List of positive integer factors of 5925 that divides 5925 without a remainder.

1,3,5,15,25,75,79,237,395,1185,1975,5925

Greatest Common Factor

We found the factors 20,5925 . The biggest common factor number is the GCF number.
So the greatest common factor 20,5925 is 5.


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 486/20, 343/5925

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 486/20, 343/5925?

Answer: LCM of Numerators as per given numbers 486/20, 343/5925 is

LCM of Numerators i.e. for 486,343 is 166698

GCF of denominators i.e. for 20,5925 is 5.

Thus, LCM of Fractions is 166698/5.Finally, LCM of Fractions for 486/20, 343/5925 is 166698/5.