Least Common Multiple of 394/60, 880/5421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 394/60, 880/5421 quickly i.e. 173360/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 394/60, 880/5421 is 173360/3.

LCM(394/60, 880/5421) = 173360/3

LCM of 394/60, 880/5421

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 394/60,880/5421

Given numbers are 394/60,880/5421

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 394,880

Least Common Multiple of Numerators i.e. LCM of 394,880 is 173360.

GCF of Denominators means GCF of 60,5421 as per the given fractions.

GCF of 60,5421 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 394,880

LCM of Fractions 394/60,880/5421 is 173360/3

2 394, 880
197, 440

∴ So the LCM of the given numbers is 2 x 197 x 440 = 173360

Least Common Multiple of 394,880 with GCF Formula

Least Common Multiple of 394,880 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 394,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(394,880) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(394,880) x common factors =2 x 1 = 2

LCM(394,880) = ( 394 × 880 ) / 2

LCM(394,880) = 346720 / 2

LCM(394,880) = 173360


Lets's calculate GCF of 60,5421

3 60, 5421
20, 1807

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 173360/3

Therefore the LCM of Fractions 394/60,880/5421 is 173360/3

Greatest Common Factor of 60,5421 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,5421 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 5421

List of positive integer factors of 5421 that divides 5421 without a remainder.

1,3,13,39,139,417,1807,5421

Greatest Common Factor

We found the factors 60,5421 . The biggest common factor number is the GCF number.
So the greatest common factor 60,5421 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 394/60, 880/5421

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 394/60, 880/5421?

Answer: LCM of Numerators as per given numbers 394/60, 880/5421 is

LCM of Numerators i.e. for 394,880 is 173360

GCF of denominators i.e. for 60,5421 is 3.

Thus, LCM of Fractions is 173360/3.Finally, LCM of Fractions for 394/60, 880/5421 is 173360/3.