Least Common Multiple of 40/827, 810/329, 721/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/827, 810/329, 721/231 quickly i.e. 2336040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/827, 810/329, 721/231 is 2336040.

LCM(40/827, 810/329, 721/231) = 2336040

LCM of 40/827, 810/329, 721/231

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 40/827,810/329,721/231

Given numbers are 40/827,810/329,721/231

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 40,810,721

Least Common Multiple of Numerators i.e. LCM of 40,810,721 is 2336040.

GCF of Denominators means GCF of 827,329,231 as per the given fractions.

GCF of 827,329,231 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,810,721

LCM of Fractions 40/827,810/329,721/231 is 2336040

2 40, 810, 721
5 20, 405, 721
4, 81, 721

∴ So the LCM of the given numbers is 2 x 5 x 4 x 81 x 721 = 2336040

Least Common Multiple of 40,810,721 with GCF Formula

Least Common Multiple of 40,810,721 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 40,810,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,810,721) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(40,810,721) x common factors =1 x 10 = 10

LCM(40,810,721) = ( 40 × 810 × 721 ) / 10

LCM(40,810,721) = 23360400 / 10

LCM(40,810,721) = 2336040


Lets's calculate GCF of 827,329,231

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2336040/1

Therefore the LCM of Fractions 40/827,810/329,721/231 is 2336040

Greatest Common Factor of 827,329,231 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,329,231 By Matching Biggest Common Factor Method

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Greatest Common Factor

We found the factors 827,329,231 . The biggest common factor number is the GCF number.
So the greatest common factor 827,329,231 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 40/827, 810/329, 721/231

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 40/827, 810/329, 721/231?

Answer: LCM of Numerators as per given numbers 40/827, 810/329, 721/231 is

LCM of Numerators i.e. for 40,810,721 is 2336040

GCF of denominators i.e. for 827,329,231 is 1.

Thus, LCM of Fractions is 2336040.Finally, LCM of Fractions for 40/827, 810/329, 721/231 is 2336040.