Least Common Multiple of 637/729, 723/510, 907/471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 637/729, 723/510, 907/471 quickly i.e. 139239919 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 637/729, 723/510, 907/471 is 139239919.

LCM(637/729, 723/510, 907/471) = 139239919

LCM of 637/729, 723/510, 907/471

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 637/729,723/510,907/471

Given numbers are 637/729,723/510,907/471

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 637,723,907

Least Common Multiple of Numerators i.e. LCM of 637,723,907 is 417719757.

GCF of Denominators means GCF of 729,510,471 as per the given fractions.

GCF of 729,510,471 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 637,723,907

LCM of Fractions 637/729,723/510,907/471 is 139239919

Given numbers has no common factors except 1. So, there LCM is their product i.e 417719757

Least Common Multiple of 637,723,907 with GCF Formula

Least Common Multiple of 637,723,907 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 637,723,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(637,723,907) = 1

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

GCF(637,723,907) x common factors =1 x 1 = 1

LCM(637,723,907) = ( 637 × 723 × 907 ) / 1

LCM(637,723,907) = 417719757 / 1

LCM(637,723,907) = 417719757


Lets's calculate GCF of 729,510,471

3 729, 510, 471
243, 170, 157

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 417719757/3

Therefore the LCM of Fractions 637/729,723/510,907/471 is 139239919

Greatest Common Factor of 729,510,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,510,471 By Matching Biggest Common Factor Method

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Greatest Common Factor

We found the factors 729,510,471 . The biggest common factor number is the GCF number.
So the greatest common factor 729,510,471 is 3.


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 637/729, 723/510, 907/471

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 637/729, 723/510, 907/471?

Answer: LCM of Numerators as per given numbers 637/729, 723/510, 907/471 is

LCM of Numerators i.e. for 637,723,907 is 417719757

GCF of denominators i.e. for 729,510,471 is 3.

Thus, LCM of Fractions is 139239919.Finally, LCM of Fractions for 637/729, 723/510, 907/471 is 139239919.