Least Common Multiple of 511/638, 905/501, 371/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 511/638, 905/501, 371/508 quickly i.e. 24510115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 511/638, 905/501, 371/508 is 24510115.

LCM(511/638, 905/501, 371/508) = 24510115

LCM of 511/638, 905/501, 371/508

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 511/638,905/501,371/508

Given numbers are 511/638,905/501,371/508

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 511,905,371

Least Common Multiple of Numerators i.e. LCM of 511,905,371 is 24510115.

GCF of Denominators means GCF of 638,501,508 as per the given fractions.

GCF of 638,501,508 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 511,905,371

LCM of Fractions 511/638,905/501,371/508 is 24510115

7 511, 905, 371
73, 905, 53

∴ So the LCM of the given numbers is 7 x 73 x 905 x 53 = 24510115

Least Common Multiple of 511,905,371 with GCF Formula

Least Common Multiple of 511,905,371 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 511,905,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(511,905,371) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(511,905,371) x common factors =1 x 7 = 7

LCM(511,905,371) = ( 511 × 905 × 371 ) / 7

LCM(511,905,371) = 171570805 / 7

LCM(511,905,371) = 24510115


Lets's calculate GCF of 638,501,508

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24510115/1

Therefore the LCM of Fractions 511/638,905/501,371/508 is 24510115

Greatest Common Factor of 638,501,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,501,508 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors 638,501,508 . The biggest common factor number is the GCF number.
So the greatest common factor 638,501,508 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 511/638, 905/501, 371/508

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 511/638, 905/501, 371/508?

Answer: LCM of Numerators as per given numbers 511/638, 905/501, 371/508 is

LCM of Numerators i.e. for 511,905,371 is 24510115

GCF of denominators i.e. for 638,501,508 is 1.

Thus, LCM of Fractions is 24510115.Finally, LCM of Fractions for 511/638, 905/501, 371/508 is 24510115.