Least Common Multiple of 531/24, 649/50, 667/779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 531/24, 649/50, 667/779 quickly i.e. 3895947 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 531/24, 649/50, 667/779 is 3895947.

LCM(531/24, 649/50, 667/779) = 3895947

LCM of 531/24, 649/50, 667/779

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 531/24,649/50,667/779

Given numbers are 531/24,649/50,667/779

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 531,649,667

Least Common Multiple of Numerators i.e. LCM of 531,649,667 is 3895947.

GCF of Denominators means GCF of 24,50,779 as per the given fractions.

GCF of 24,50,779 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 531,649,667

LCM of Fractions 531/24,649/50,667/779 is 3895947

59 531, 649, 667
9, 11, 667

∴ So the LCM of the given numbers is 59 x 9 x 11 x 667 = 3895947

Least Common Multiple of 531,649,667 with GCF Formula

Least Common Multiple of 531,649,667 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 531,649,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(531,649,667) = 1

common factors(in case of two or more numbers have common factors) = 59

GCF(531,649,667) x common factors =1 x 59 = 59

LCM(531,649,667) = ( 531 × 649 × 667 ) / 59

LCM(531,649,667) = 229860873 / 59

LCM(531,649,667) = 3895947


Lets's calculate GCF of 24,50,779

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3895947/1

Therefore the LCM of Fractions 531/24,649/50,667/779 is 3895947

Greatest Common Factor of 24,50,779 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,50,779 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Greatest Common Factor

We found the factors 24,50,779 . The biggest common factor number is the GCF number.
So the greatest common factor 24,50,779 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 531/24, 649/50, 667/779

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 531/24, 649/50, 667/779?

Answer: LCM of Numerators as per given numbers 531/24, 649/50, 667/779 is

LCM of Numerators i.e. for 531,649,667 is 3895947

GCF of denominators i.e. for 24,50,779 is 1.

Thus, LCM of Fractions is 3895947.Finally, LCM of Fractions for 531/24, 649/50, 667/779 is 3895947.