Least Common Multiple of 40/713, 31/989, 394/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/713, 31/989, 394/100 quickly i.e. 244280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/713, 31/989, 394/100 is 244280.

LCM(40/713, 31/989, 394/100) = 244280

LCM of 40/713, 31/989, 394/100

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 40/713,31/989,394/100

Given numbers are 40/713,31/989,394/100

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 40,31,394

Least Common Multiple of Numerators i.e. LCM of 40,31,394 is 244280.

GCF of Denominators means GCF of 713,989,100 as per the given fractions.

GCF of 713,989,100 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,31,394

LCM of Fractions 40/713,31/989,394/100 is 244280

2 40, 31, 394
20, 31, 197

∴ So the LCM of the given numbers is 2 x 20 x 31 x 197 = 244280

Least Common Multiple of 40,31,394 with GCF Formula

Least Common Multiple of 40,31,394 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 40,31,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,31,394) = 1

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

GCF(40,31,394) x common factors =1 x 2 = 2

LCM(40,31,394) = ( 40 × 31 × 394 ) / 2

LCM(40,31,394) = 488560 / 2

LCM(40,31,394) = 244280


Lets's calculate GCF of 713,989,100

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 244280/1

Therefore the LCM of Fractions 40/713,31/989,394/100 is 244280

Greatest Common Factor of 713,989,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 713,989,100 By Matching Biggest Common Factor Method

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 713,989,100 . The biggest common factor number is the GCF number.
So the greatest common factor 713,989,100 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 40/713, 31/989, 394/100

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 40/713, 31/989, 394/100?

Answer: LCM of Numerators as per given numbers 40/713, 31/989, 394/100 is

LCM of Numerators i.e. for 40,31,394 is 244280

GCF of denominators i.e. for 713,989,100 is 1.

Thus, LCM of Fractions is 244280.Finally, LCM of Fractions for 40/713, 31/989, 394/100 is 244280.