Least Common Multiple of 486/58, 746/57, 104/808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 486/58, 746/57, 104/808 quickly i.e. 9426456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 486/58, 746/57, 104/808 is 9426456.

LCM(486/58, 746/57, 104/808) = 9426456

LCM of 486/58, 746/57, 104/808

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 486/58,746/57,104/808

Given numbers are 486/58,746/57,104/808

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 486,746,104

Least Common Multiple of Numerators i.e. LCM of 486,746,104 is 9426456.

GCF of Denominators means GCF of 58,57,808 as per the given fractions.

GCF of 58,57,808 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 486,746,104

LCM of Fractions 486/58,746/57,104/808 is 9426456

2 486, 746, 104
243, 373, 52

∴ So the LCM of the given numbers is 2 x 243 x 373 x 52 = 9426456

Least Common Multiple of 486,746,104 with GCF Formula

Least Common Multiple of 486,746,104 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 486,746,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,746,104) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(486,746,104) x common factors =2 x 2 = 4

LCM(486,746,104) = ( 486 × 746 × 104 ) / 4

LCM(486,746,104) = 37705824 / 4

LCM(486,746,104) = 9426456


Lets's calculate GCF of 58,57,808

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9426456/1

Therefore the LCM of Fractions 486/58,746/57,104/808 is 9426456

Greatest Common Factor of 58,57,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,57,808 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors 58,57,808 . The biggest common factor number is the GCF number.
So the greatest common factor 58,57,808 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 486/58, 746/57, 104/808

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 486/58, 746/57, 104/808?

Answer: LCM of Numerators as per given numbers 486/58, 746/57, 104/808 is

LCM of Numerators i.e. for 486,746,104 is 9426456

GCF of denominators i.e. for 58,57,808 is 1.

Thus, LCM of Fractions is 9426456.Finally, LCM of Fractions for 486/58, 746/57, 104/808 is 9426456.