Least Common Multiple of 240/46, 810/3705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 240/46, 810/3705 quickly i.e. 6480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 240/46, 810/3705 is 6480.

LCM(240/46, 810/3705) = 6480

LCM of 240/46, 810/3705

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 240/46,810/3705

Given numbers are 240/46,810/3705

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 240,810

Least Common Multiple of Numerators i.e. LCM of 240,810 is 6480.

GCF of Denominators means GCF of 46,3705 as per the given fractions.

GCF of 46,3705 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 240,810

LCM of Fractions 240/46,810/3705 is 6480

2 240, 810
3 120, 405
5 40, 135
8, 27

∴ So the LCM of the given numbers is 2 x 3 x 5 x 8 x 27 = 6480

Least Common Multiple of 240,810 with GCF Formula

Least Common Multiple of 240,810 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 240,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,810) = 30

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

GCF(240,810) x common factors =30 x 1 = 30

LCM(240,810) = ( 240 × 810 ) / 30

LCM(240,810) = 194400 / 30

LCM(240,810) = 6480


Lets's calculate GCF of 46,3705

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6480/1

Therefore the LCM of Fractions 240/46,810/3705 is 6480

Greatest Common Factor of 46,3705 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,3705 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 3705

List of positive integer factors of 3705 that divides 3705 without a remainder.

1,3,5,13,15,19,39,57,65,95,195,247,285,741,1235,3705

Greatest Common Factor

We found the factors 46,3705 . The biggest common factor number is the GCF number.
So the greatest common factor 46,3705 is 1.


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 240/46, 810/3705

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 240/46, 810/3705?

Answer: LCM of Numerators as per given numbers 240/46, 810/3705 is

LCM of Numerators i.e. for 240,810 is 6480

GCF of denominators i.e. for 46,3705 is 1.

Thus, LCM of Fractions is 6480.Finally, LCM of Fractions for 240/46, 810/3705 is 6480.