Least Common Multiple of 818/85, 524/9660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 818/85, 524/9660 quickly i.e. 214316/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 818/85, 524/9660 is 214316/5.

LCM(818/85, 524/9660) = 214316/5

LCM of 818/85, 524/9660

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 818/85,524/9660

Given numbers are 818/85,524/9660

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 818,524

Least Common Multiple of Numerators i.e. LCM of 818,524 is 214316.

GCF of Denominators means GCF of 85,9660 as per the given fractions.

GCF of 85,9660 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 818,524

LCM of Fractions 818/85,524/9660 is 214316/5

2 818, 524
409, 262

∴ So the LCM of the given numbers is 2 x 409 x 262 = 214316

Least Common Multiple of 818,524 with GCF Formula

Least Common Multiple of 818,524 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 818,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(818,524) = 2

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

GCF(818,524) x common factors =2 x 1 = 2

LCM(818,524) = ( 818 × 524 ) / 2

LCM(818,524) = 428632 / 2

LCM(818,524) = 214316


Lets's calculate GCF of 85,9660

5 85, 9660
17, 1932

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 214316/5

Therefore the LCM of Fractions 818/85,524/9660 is 214316/5

Greatest Common Factor of 85,9660 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,9660 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 9660

List of positive integer factors of 9660 that divides 9660 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,23,28,30,35,42,46,60,69,70,84,92,105,115,138,140,161,210,230,276,322,345,420,460,483,644,690,805,966,1380,1610,1932,2415,3220,4830,9660

Greatest Common Factor

We found the factors 85,9660 . The biggest common factor number is the GCF number.
So the greatest common factor 85,9660 is 5.


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 818/85, 524/9660

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 818/85, 524/9660?

Answer: LCM of Numerators as per given numbers 818/85, 524/9660 is

LCM of Numerators i.e. for 818,524 is 214316

GCF of denominators i.e. for 85,9660 is 5.

Thus, LCM of Fractions is 214316/5.Finally, LCM of Fractions for 818/85, 524/9660 is 214316/5.