Least Common Multiple of 58/40, 43/56, 804/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/40, 43/56, 804/470 quickly i.e. 501294 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/40, 43/56, 804/470 is 501294.

LCM(58/40, 43/56, 804/470) = 501294

LCM of 58/40, 43/56, 804/470

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 58/40,43/56,804/470

Given numbers are 58/40,43/56,804/470

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 58,43,804

Least Common Multiple of Numerators i.e. LCM of 58,43,804 is 1002588.

GCF of Denominators means GCF of 40,56,470 as per the given fractions.

GCF of 40,56,470 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,43,804

LCM of Fractions 58/40,43/56,804/470 is 501294

2 58, 43, 804
29, 43, 402

∴ So the LCM of the given numbers is 2 x 29 x 43 x 402 = 1002588

Least Common Multiple of 58,43,804 with GCF Formula

Least Common Multiple of 58,43,804 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 58,43,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,43,804) = 1

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

GCF(58,43,804) x common factors =1 x 2 = 2

LCM(58,43,804) = ( 58 × 43 × 804 ) / 2

LCM(58,43,804) = 2005176 / 2

LCM(58,43,804) = 1002588


Lets's calculate GCF of 40,56,470

2 40, 56, 470
20, 28, 235

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1002588/2

Therefore the LCM of Fractions 58/40,43/56,804/470 is 501294

Greatest Common Factor of 40,56,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,56,470 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 40,56,470 . The biggest common factor number is the GCF number.
So the greatest common factor 40,56,470 is 2.


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 58/40, 43/56, 804/470

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 58/40, 43/56, 804/470?

Answer: LCM of Numerators as per given numbers 58/40, 43/56, 804/470 is

LCM of Numerators i.e. for 58,43,804 is 1002588

GCF of denominators i.e. for 40,56,470 is 2.

Thus, LCM of Fractions is 501294.Finally, LCM of Fractions for 58/40, 43/56, 804/470 is 501294.