Least Common Multiple of 394/40, 688/79, 520/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 394/40, 688/79, 520/440 quickly i.e. 8809840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 394/40, 688/79, 520/440 is 8809840.

LCM(394/40, 688/79, 520/440) = 8809840

LCM of 394/40, 688/79, 520/440

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 394/40,688/79,520/440

Given numbers are 394/40,688/79,520/440

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 394,688,520

Least Common Multiple of Numerators i.e. LCM of 394,688,520 is 8809840.

GCF of Denominators means GCF of 40,79,440 as per the given fractions.

GCF of 40,79,440 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 394,688,520

LCM of Fractions 394/40,688/79,520/440 is 8809840

2 394, 688, 520
2 197, 344, 260
2 197, 172, 130
197, 86, 65

∴ So the LCM of the given numbers is 2 x 2 x 2 x 197 x 86 x 65 = 8809840

Least Common Multiple of 394,688,520 with GCF Formula

Least Common Multiple of 394,688,520 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 394,688,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(394,688,520) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(394,688,520) x common factors =2 x 8 = 16

LCM(394,688,520) = ( 394 × 688 × 520 ) / 16

LCM(394,688,520) = 140957440 / 16

LCM(394,688,520) = 8809840


Lets's calculate GCF of 40,79,440

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8809840/1

Therefore the LCM of Fractions 394/40,688/79,520/440 is 8809840

Greatest Common Factor of 40,79,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,79,440 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 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 40,79,440 . The biggest common factor number is the GCF number.
So the greatest common factor 40,79,440 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 394/40, 688/79, 520/440

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 394/40, 688/79, 520/440?

Answer: LCM of Numerators as per given numbers 394/40, 688/79, 520/440 is

LCM of Numerators i.e. for 394,688,520 is 8809840

GCF of denominators i.e. for 40,79,440 is 1.

Thus, LCM of Fractions is 8809840.Finally, LCM of Fractions for 394/40, 688/79, 520/440 is 8809840.