Least Common Multiple of 307/471, 507/519, 981/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 307/471, 507/519, 981/726 quickly i.e. 16965741 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 307/471, 507/519, 981/726 is 16965741.

LCM(307/471, 507/519, 981/726) = 16965741

LCM of 307/471, 507/519, 981/726

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 307/471,507/519,981/726

Given numbers are 307/471,507/519,981/726

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 307,507,981

Least Common Multiple of Numerators i.e. LCM of 307,507,981 is 50897223.

GCF of Denominators means GCF of 471,519,726 as per the given fractions.

GCF of 471,519,726 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 307,507,981

LCM of Fractions 307/471,507/519,981/726 is 16965741

3 307, 507, 981
307, 169, 327

∴ So the LCM of the given numbers is 3 x 307 x 169 x 327 = 50897223

Least Common Multiple of 307,507,981 with GCF Formula

Least Common Multiple of 307,507,981 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 307,507,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,507,981) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(307,507,981) x common factors =1 x 3 = 3

LCM(307,507,981) = ( 307 × 507 × 981 ) / 3

LCM(307,507,981) = 152691669 / 3

LCM(307,507,981) = 50897223


Lets's calculate GCF of 471,519,726

3 471, 519, 726
157, 173, 242

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50897223/3

Therefore the LCM of Fractions 307/471,507/519,981/726 is 16965741

Greatest Common Factor of 471,519,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 471,519,726 By Matching Biggest Common Factor Method

Factors of 471

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

1,3,157,471

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 471,519,726 . The biggest common factor number is the GCF number.
So the greatest common factor 471,519,726 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 307/471, 507/519, 981/726

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 307/471, 507/519, 981/726?

Answer: LCM of Numerators as per given numbers 307/471, 507/519, 981/726 is

LCM of Numerators i.e. for 307,507,981 is 50897223

GCF of denominators i.e. for 471,519,726 is 3.

Thus, LCM of Fractions is 16965741.Finally, LCM of Fractions for 307/471, 507/519, 981/726 is 16965741.