Least Common Multiple of 394/495, 5428/8715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 394/495, 5428/8715 quickly i.e. 1069316/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 394/495, 5428/8715 is 1069316/15.

LCM(394/495, 5428/8715) = 1069316/15

LCM of 394/495, 5428/8715

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 394/495,5428/8715

Given numbers are 394/495,5428/8715

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 394,5428

Least Common Multiple of Numerators i.e. LCM of 394,5428 is 1069316.

GCF of Denominators means GCF of 495,8715 as per the given fractions.

GCF of 495,8715 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 394,5428

LCM of Fractions 394/495,5428/8715 is 1069316/15

2 394, 5428
197, 2714

∴ So the LCM of the given numbers is 2 x 197 x 2714 = 1069316

Least Common Multiple of 394,5428 with GCF Formula

Least Common Multiple of 394,5428 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 394,5428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(394,5428) = 2

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

GCF(394,5428) x common factors =2 x 1 = 2

LCM(394,5428) = ( 394 × 5428 ) / 2

LCM(394,5428) = 2138632 / 2

LCM(394,5428) = 1069316


Lets's calculate GCF of 495,8715

3 495, 8715
5 165, 2905
33, 581

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1069316/15

Therefore the LCM of Fractions 394/495,5428/8715 is 1069316/15

Greatest Common Factor of 495,8715 By Matching Biggest Common Factor Method

Greatest Common Factor of 495,8715 By Matching Biggest Common Factor Method

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 8715

List of positive integer factors of 8715 that divides 8715 without a remainder.

1,3,5,7,15,21,35,83,105,249,415,581,1245,1743,2905,8715

Greatest Common Factor

We found the factors 495,8715 . The biggest common factor number is the GCF number.
So the greatest common factor 495,8715 is 15.


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 394/495, 5428/8715

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 394/495, 5428/8715?

Answer: LCM of Numerators as per given numbers 394/495, 5428/8715 is

LCM of Numerators i.e. for 394,5428 is 1069316

GCF of denominators i.e. for 495,8715 is 15.

Thus, LCM of Fractions is 1069316/15.Finally, LCM of Fractions for 394/495, 5428/8715 is 1069316/15.