Least Common Multiple of 403/773, 871/312, 188/463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 403/773, 871/312, 188/463 quickly i.e. 5076188 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 403/773, 871/312, 188/463 is 5076188.

LCM(403/773, 871/312, 188/463) = 5076188

LCM of 403/773, 871/312, 188/463

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 403/773,871/312,188/463

Given numbers are 403/773,871/312,188/463

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 403,871,188

Least Common Multiple of Numerators i.e. LCM of 403,871,188 is 5076188.

GCF of Denominators means GCF of 773,312,463 as per the given fractions.

GCF of 773,312,463 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 403,871,188

LCM of Fractions 403/773,871/312,188/463 is 5076188

13 403, 871, 188
31, 67, 188

∴ So the LCM of the given numbers is 13 x 31 x 67 x 188 = 5076188

Least Common Multiple of 403,871,188 with GCF Formula

Least Common Multiple of 403,871,188 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 403,871,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(403,871,188) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(403,871,188) x common factors =1 x 13 = 13

LCM(403,871,188) = ( 403 × 871 × 188 ) / 13

LCM(403,871,188) = 65990444 / 13

LCM(403,871,188) = 5076188


Lets's calculate GCF of 773,312,463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5076188/1

Therefore the LCM of Fractions 403/773,871/312,188/463 is 5076188

Greatest Common Factor of 773,312,463 By Matching Biggest Common Factor Method

Greatest Common Factor of 773,312,463 By Matching Biggest Common Factor Method

Factors of 773

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

1,773

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Greatest Common Factor

We found the factors 773,312,463 . The biggest common factor number is the GCF number.
So the greatest common factor 773,312,463 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 403/773, 871/312, 188/463

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 403/773, 871/312, 188/463?

Answer: LCM of Numerators as per given numbers 403/773, 871/312, 188/463 is

LCM of Numerators i.e. for 403,871,188 is 5076188

GCF of denominators i.e. for 773,312,463 is 1.

Thus, LCM of Fractions is 5076188.Finally, LCM of Fractions for 403/773, 871/312, 188/463 is 5076188.