Least Common Multiple of 5816/810, 6486/6672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5816/810, 6486/6672 quickly i.e. 3143548 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5816/810, 6486/6672 is 3143548.

LCM(5816/810, 6486/6672) = 3143548

LCM of 5816/810, 6486/6672

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 5816/810,6486/6672

Given numbers are 5816/810,6486/6672

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 5816,6486

Least Common Multiple of Numerators i.e. LCM of 5816,6486 is 18861288.

GCF of Denominators means GCF of 810,6672 as per the given fractions.

GCF of 810,6672 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5816,6486

LCM of Fractions 5816/810,6486/6672 is 3143548

2 5816, 6486
2908, 3243

∴ So the LCM of the given numbers is 2 x 2908 x 3243 = 18861288

Least Common Multiple of 5816,6486 with GCF Formula

Least Common Multiple of 5816,6486 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 5816,6486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5816,6486) = 2

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

GCF(5816,6486) x common factors =2 x 1 = 2

LCM(5816,6486) = ( 5816 × 6486 ) / 2

LCM(5816,6486) = 37722576 / 2

LCM(5816,6486) = 18861288


Lets's calculate GCF of 810,6672

2 810, 6672
3 405, 3336
135, 1112

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18861288/6

Therefore the LCM of Fractions 5816/810,6486/6672 is 3143548

Greatest Common Factor of 810,6672 By Matching Biggest Common Factor Method

Greatest Common Factor of 810,6672 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 6672

List of positive integer factors of 6672 that divides 6672 without a remainder.

1,2,3,4,6,8,12,16,24,48,139,278,417,556,834,1112,1668,2224,3336,6672

Greatest Common Factor

We found the factors 810,6672 . The biggest common factor number is the GCF number.
So the greatest common factor 810,6672 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 5816/810, 6486/6672

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 5816/810, 6486/6672?

Answer: LCM of Numerators as per given numbers 5816/810, 6486/6672 is

LCM of Numerators i.e. for 5816,6486 is 18861288

GCF of denominators i.e. for 810,6672 is 6.

Thus, LCM of Fractions is 3143548.Finally, LCM of Fractions for 5816/810, 6486/6672 is 3143548.