Least Common Multiple of 14/810, 7200/3795

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/810, 7200/3795 quickly i.e. 3360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/810, 7200/3795 is 3360.

LCM(14/810, 7200/3795) = 3360

LCM of 14/810, 7200/3795

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 14/810,7200/3795

Given numbers are 14/810,7200/3795

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 14,7200

Least Common Multiple of Numerators i.e. LCM of 14,7200 is 50400.

GCF of Denominators means GCF of 810,3795 as per the given fractions.

GCF of 810,3795 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,7200

LCM of Fractions 14/810,7200/3795 is 3360

2 14, 7200
7, 3600

∴ So the LCM of the given numbers is 2 x 7 x 3600 = 50400

Least Common Multiple of 14,7200 with GCF Formula

Least Common Multiple of 14,7200 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 14,7200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,7200) = 2

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

GCF(14,7200) x common factors =2 x 1 = 2

LCM(14,7200) = ( 14 × 7200 ) / 2

LCM(14,7200) = 100800 / 2

LCM(14,7200) = 50400


Lets's calculate GCF of 810,3795

3 810, 3795
5 270, 1265
54, 253

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50400/15

Therefore the LCM of Fractions 14/810,7200/3795 is 3360

Greatest Common Factor of 810,3795 By Matching Biggest Common Factor Method

Greatest Common Factor of 810,3795 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 3795

List of positive integer factors of 3795 that divides 3795 without a remainder.

1,3,5,11,15,23,33,55,69,115,165,253,345,759,1265,3795

Greatest Common Factor

We found the factors 810,3795 . The biggest common factor number is the GCF number.
So the greatest common factor 810,3795 is 15.


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 14/810, 7200/3795

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 14/810, 7200/3795?

Answer: LCM of Numerators as per given numbers 14/810, 7200/3795 is

LCM of Numerators i.e. for 14,7200 is 50400

GCF of denominators i.e. for 810,3795 is 15.

Thus, LCM of Fractions is 3360.Finally, LCM of Fractions for 14/810, 7200/3795 is 3360.