Least Common Multiple of 41/470, 42/807, 556/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/470, 42/807, 556/794 quickly i.e. 478716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/470, 42/807, 556/794 is 478716.

LCM(41/470, 42/807, 556/794) = 478716

LCM of 41/470, 42/807, 556/794

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 41/470,42/807,556/794

Given numbers are 41/470,42/807,556/794

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 41,42,556

Least Common Multiple of Numerators i.e. LCM of 41,42,556 is 478716.

GCF of Denominators means GCF of 470,807,794 as per the given fractions.

GCF of 470,807,794 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,42,556

LCM of Fractions 41/470,42/807,556/794 is 478716

2 41, 42, 556
41, 21, 278

∴ So the LCM of the given numbers is 2 x 41 x 21 x 278 = 478716

Least Common Multiple of 41,42,556 with GCF Formula

Least Common Multiple of 41,42,556 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 41,42,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,42,556) = 1

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

GCF(41,42,556) x common factors =1 x 2 = 2

LCM(41,42,556) = ( 41 × 42 × 556 ) / 2

LCM(41,42,556) = 957432 / 2

LCM(41,42,556) = 478716


Lets's calculate GCF of 470,807,794

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 478716/1

Therefore the LCM of Fractions 41/470,42/807,556/794 is 478716

Greatest Common Factor of 470,807,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,807,794 By Matching Biggest Common Factor Method

Factors of 470

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

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

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors 470,807,794 . The biggest common factor number is the GCF number.
So the greatest common factor 470,807,794 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 41/470, 42/807, 556/794

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 41/470, 42/807, 556/794?

Answer: LCM of Numerators as per given numbers 41/470, 42/807, 556/794 is

LCM of Numerators i.e. for 41,42,556 is 478716

GCF of denominators i.e. for 470,807,794 is 1.

Thus, LCM of Fractions is 478716.Finally, LCM of Fractions for 41/470, 42/807, 556/794 is 478716.