Least Common Multiple of 319/644, 561/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 319/644, 561/525 quickly i.e. 16269/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 319/644, 561/525 is 16269/7.

LCM(319/644, 561/525) = 16269/7

LCM of 319/644, 561/525

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 319/644,561/525

Given numbers are 319/644,561/525

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 319,561

Least Common Multiple of Numerators i.e. LCM of 319,561 is 16269.

GCF of Denominators means GCF of 644,525 as per the given fractions.

GCF of 644,525 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 319,561

LCM of Fractions 319/644,561/525 is 16269/7

11 319, 561
29, 51

∴ So the LCM of the given numbers is 11 x 29 x 51 = 16269

Least Common Multiple of 319,561 with GCF Formula

Least Common Multiple of 319,561 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 319,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,561) = 11

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

GCF(319,561) x common factors =11 x 1 = 11

LCM(319,561) = ( 319 × 561 ) / 11

LCM(319,561) = 178959 / 11

LCM(319,561) = 16269


Lets's calculate GCF of 644,525

7 644, 525
92, 75

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16269/7

Therefore the LCM of Fractions 319/644,561/525 is 16269/7

Greatest Common Factor of 644,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,525 By Matching Biggest Common Factor Method

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 644,525 . The biggest common factor number is the GCF number.
So the greatest common factor 644,525 is 7.


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 319/644, 561/525

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 319/644, 561/525?

Answer: LCM of Numerators as per given numbers 319/644, 561/525 is

LCM of Numerators i.e. for 319,561 is 16269

GCF of denominators i.e. for 644,525 is 7.

Thus, LCM of Fractions is 16269/7.Finally, LCM of Fractions for 319/644, 561/525 is 16269/7.