Least Common Multiple of 40/505, 61/788, 724/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/505, 61/788, 724/160 quickly i.e. 441640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/505, 61/788, 724/160 is 441640.

LCM(40/505, 61/788, 724/160) = 441640

LCM of 40/505, 61/788, 724/160

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 40/505,61/788,724/160

Given numbers are 40/505,61/788,724/160

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 40,61,724

Least Common Multiple of Numerators i.e. LCM of 40,61,724 is 441640.

GCF of Denominators means GCF of 505,788,160 as per the given fractions.

GCF of 505,788,160 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,61,724

LCM of Fractions 40/505,61/788,724/160 is 441640

2 40, 61, 724
2 20, 61, 362
10, 61, 181

∴ So the LCM of the given numbers is 2 x 2 x 10 x 61 x 181 = 441640

Least Common Multiple of 40,61,724 with GCF Formula

Least Common Multiple of 40,61,724 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 40,61,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,61,724) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(40,61,724) x common factors =1 x 4 = 4

LCM(40,61,724) = ( 40 × 61 × 724 ) / 4

LCM(40,61,724) = 1766560 / 4

LCM(40,61,724) = 441640


Lets's calculate GCF of 505,788,160

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 441640/1

Therefore the LCM of Fractions 40/505,61/788,724/160 is 441640

Greatest Common Factor of 505,788,160 By Matching Biggest Common Factor Method

Greatest Common Factor of 505,788,160 By Matching Biggest Common Factor Method

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Greatest Common Factor

We found the factors 505,788,160 . The biggest common factor number is the GCF number.
So the greatest common factor 505,788,160 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 40/505, 61/788, 724/160

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 40/505, 61/788, 724/160?

Answer: LCM of Numerators as per given numbers 40/505, 61/788, 724/160 is

LCM of Numerators i.e. for 40,61,724 is 441640

GCF of denominators i.e. for 505,788,160 is 1.

Thus, LCM of Fractions is 441640.Finally, LCM of Fractions for 40/505, 61/788, 724/160 is 441640.