Least Common Multiple of 731/440, 1815/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 731/440, 1815/610 quickly i.e. 1326765/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 731/440, 1815/610 is 1326765/10.

LCM(731/440, 1815/610) = 1326765/10

LCM of 731/440, 1815/610

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 731/440,1815/610

Given numbers are 731/440,1815/610

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 731,1815

Least Common Multiple of Numerators i.e. LCM of 731,1815 is 1326765.

GCF of Denominators means GCF of 440,610 as per the given fractions.

GCF of 440,610 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 731,1815

LCM of Fractions 731/440,1815/610 is 1326765/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 1326765

Least Common Multiple of 731,1815 with GCF Formula

Least Common Multiple of 731,1815 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 731,1815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(731,1815) = 1

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

GCF(731,1815) x common factors =1 x 1 = 1

LCM(731,1815) = ( 731 × 1815 ) / 1

LCM(731,1815) = 1326765 / 1

LCM(731,1815) = 1326765


Lets's calculate GCF of 440,610

2 440, 610
5 220, 305
44, 61

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1326765/10

Therefore the LCM of Fractions 731/440,1815/610 is 1326765/10

Greatest Common Factor of 440,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,610 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 440,610 . The biggest common factor number is the GCF number.
So the greatest common factor 440,610 is 10.


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 731/440, 1815/610

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 731/440, 1815/610?

Answer: LCM of Numerators as per given numbers 731/440, 1815/610 is

LCM of Numerators i.e. for 731,1815 is 1326765

GCF of denominators i.e. for 440,610 is 10.

Thus, LCM of Fractions is 1326765/10.Finally, LCM of Fractions for 731/440, 1815/610 is 1326765/10.