Least Common Multiple of 675/810, 8210/6216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 675/810, 8210/6216 quickly i.e. 184725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 675/810, 8210/6216 is 184725.

LCM(675/810, 8210/6216) = 184725

LCM of 675/810, 8210/6216

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 675/810,8210/6216

Given numbers are 675/810,8210/6216

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 675,8210

Least Common Multiple of Numerators i.e. LCM of 675,8210 is 1108350.

GCF of Denominators means GCF of 810,6216 as per the given fractions.

GCF of 810,6216 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 675,8210

LCM of Fractions 675/810,8210/6216 is 184725

5 675, 8210
135, 1642

∴ So the LCM of the given numbers is 5 x 135 x 1642 = 1108350

Least Common Multiple of 675,8210 with GCF Formula

Least Common Multiple of 675,8210 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 675,8210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,8210) = 5

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

GCF(675,8210) x common factors =5 x 1 = 5

LCM(675,8210) = ( 675 × 8210 ) / 5

LCM(675,8210) = 5541750 / 5

LCM(675,8210) = 1108350


Lets's calculate GCF of 810,6216

2 810, 6216
3 405, 3108
135, 1036

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1108350/6

Therefore the LCM of Fractions 675/810,8210/6216 is 184725

Greatest Common Factor of 810,6216 By Matching Biggest Common Factor Method

Greatest Common Factor of 810,6216 By Matching Biggest Common Factor Method

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 6216

List of positive integer factors of 6216 that divides 6216 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,37,42,56,74,84,111,148,168,222,259,296,444,518,777,888,1036,1554,2072,3108,6216

Greatest Common Factor

We found the factors 810,6216 . The biggest common factor number is the GCF number.
So the greatest common factor 810,6216 is 6.


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 675/810, 8210/6216

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 675/810, 8210/6216?

Answer: LCM of Numerators as per given numbers 675/810, 8210/6216 is

LCM of Numerators i.e. for 675,8210 is 1108350

GCF of denominators i.e. for 810,6216 is 6.

Thus, LCM of Fractions is 184725.Finally, LCM of Fractions for 675/810, 8210/6216 is 184725.