Least Common Multiple of 810/514, 270/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 810/514, 270/396 quickly i.e. 405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 810/514, 270/396 is 405.

LCM(810/514, 270/396) = 405

LCM of 810/514, 270/396

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 810/514,270/396

Given numbers are 810/514,270/396

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 810,270

Least Common Multiple of Numerators i.e. LCM of 810,270 is 810.

GCF of Denominators means GCF of 514,396 as per the given fractions.

GCF of 514,396 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 810,270

LCM of Fractions 810/514,270/396 is 405

2 810, 270
3 405, 135
3 45, 135
3 15, 45
5 5, 15
1, 3

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 5 x 1 x 3 = 810

Least Common Multiple of 810,270 with GCF Formula

Least Common Multiple of 810,270 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 810,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,270) = 270

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

GCF(810,270) x common factors =270 x 1 = 270

LCM(810,270) = ( 810 × 270 ) / 270

LCM(810,270) = 218700 / 270

LCM(810,270) = 810


Lets's calculate GCF of 514,396

2 514, 396
257, 198

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 810/2

Therefore the LCM of Fractions 810/514,270/396 is 405

Greatest Common Factor of 514,396 By Matching Biggest Common Factor Method

Greatest Common Factor of 514,396 By Matching Biggest Common Factor Method

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Greatest Common Factor

We found the factors 514,396 . The biggest common factor number is the GCF number.
So the greatest common factor 514,396 is 2.


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 810/514, 270/396

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 810/514, 270/396?

Answer: LCM of Numerators as per given numbers 810/514, 270/396 is

LCM of Numerators i.e. for 810,270 is 810

GCF of denominators i.e. for 514,396 is 2.

Thus, LCM of Fractions is 405.Finally, LCM of Fractions for 810/514, 270/396 is 405.