Least Common Multiple of 816/70, 729/5455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 816/70, 729/5455 quickly i.e. 198288/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 816/70, 729/5455 is 198288/5.

LCM(816/70, 729/5455) = 198288/5

LCM of 816/70, 729/5455

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 816/70,729/5455

Given numbers are 816/70,729/5455

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 816,729

Least Common Multiple of Numerators i.e. LCM of 816,729 is 198288.

GCF of Denominators means GCF of 70,5455 as per the given fractions.

GCF of 70,5455 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 816,729

LCM of Fractions 816/70,729/5455 is 198288/5

3 816, 729
272, 243

∴ So the LCM of the given numbers is 3 x 272 x 243 = 198288

Least Common Multiple of 816,729 with GCF Formula

Least Common Multiple of 816,729 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 816,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(816,729) = 3

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

GCF(816,729) x common factors =3 x 1 = 3

LCM(816,729) = ( 816 × 729 ) / 3

LCM(816,729) = 594864 / 3

LCM(816,729) = 198288


Lets's calculate GCF of 70,5455

5 70, 5455
14, 1091

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198288/5

Therefore the LCM of Fractions 816/70,729/5455 is 198288/5

Greatest Common Factor of 70,5455 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,5455 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 5455

List of positive integer factors of 5455 that divides 5455 without a remainder.

1,5,1091,5455

Greatest Common Factor

We found the factors 70,5455 . The biggest common factor number is the GCF number.
So the greatest common factor 70,5455 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 816/70, 729/5455

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 816/70, 729/5455?

Answer: LCM of Numerators as per given numbers 816/70, 729/5455 is

LCM of Numerators i.e. for 816,729 is 198288

GCF of denominators i.e. for 70,5455 is 5.

Thus, LCM of Fractions is 198288/5.Finally, LCM of Fractions for 816/70, 729/5455 is 198288/5.