Least Common Multiple of 240/307, 904/646, 405/773

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 240/307, 904/646, 405/773 quickly i.e. 732240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 240/307, 904/646, 405/773 is 732240.

LCM(240/307, 904/646, 405/773) = 732240

LCM of 240/307, 904/646, 405/773

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 240/307,904/646,405/773

Given numbers are 240/307,904/646,405/773

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 240,904,405

Least Common Multiple of Numerators i.e. LCM of 240,904,405 is 732240.

GCF of Denominators means GCF of 307,646,773 as per the given fractions.

GCF of 307,646,773 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 240,904,405

LCM of Fractions 240/307,904/646,405/773 is 732240

2 240, 904, 405
2 120, 452, 405
2 60, 226, 405
3 30, 113, 405
5 10, 113, 135
2, 113, 27

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 2 x 113 x 27 = 732240

Least Common Multiple of 240,904,405 with GCF Formula

Least Common Multiple of 240,904,405 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 240,904,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,904,405) = 1

common factors(in case of two or more numbers have common factors) = 120

GCF(240,904,405) x common factors =1 x 120 = 120

LCM(240,904,405) = ( 240 × 904 × 405 ) / 120

LCM(240,904,405) = 87868800 / 120

LCM(240,904,405) = 732240


Lets's calculate GCF of 307,646,773

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 732240/1

Therefore the LCM of Fractions 240/307,904/646,405/773 is 732240

Greatest Common Factor of 307,646,773 By Matching Biggest Common Factor Method

Greatest Common Factor of 307,646,773 By Matching Biggest Common Factor Method

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Greatest Common Factor

We found the factors 307,646,773 . The biggest common factor number is the GCF number.
So the greatest common factor 307,646,773 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 240/307, 904/646, 405/773

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 240/307, 904/646, 405/773?

Answer: LCM of Numerators as per given numbers 240/307, 904/646, 405/773 is

LCM of Numerators i.e. for 240,904,405 is 732240

GCF of denominators i.e. for 307,646,773 is 1.

Thus, LCM of Fractions is 732240.Finally, LCM of Fractions for 240/307, 904/646, 405/773 is 732240.