Least Common Multiple of 319/130, 598/460, 264/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 319/130, 598/460, 264/522 quickly i.e. 1144572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 319/130, 598/460, 264/522 is 1144572.

LCM(319/130, 598/460, 264/522) = 1144572

LCM of 319/130, 598/460, 264/522

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 319/130,598/460,264/522

Given numbers are 319/130,598/460,264/522

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 319,598,264

Least Common Multiple of Numerators i.e. LCM of 319,598,264 is 2289144.

GCF of Denominators means GCF of 130,460,522 as per the given fractions.

GCF of 130,460,522 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 319,598,264

LCM of Fractions 319/130,598/460,264/522 is 1144572

2 319, 598, 264
11 319, 299, 132
29, 299, 12

∴ So the LCM of the given numbers is 2 x 11 x 29 x 299 x 12 = 2289144

Least Common Multiple of 319,598,264 with GCF Formula

Least Common Multiple of 319,598,264 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 319,598,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,598,264) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(319,598,264) x common factors =1 x 22 = 22

LCM(319,598,264) = ( 319 × 598 × 264 ) / 22

LCM(319,598,264) = 50361168 / 22

LCM(319,598,264) = 2289144


Lets's calculate GCF of 130,460,522

2 130, 460, 522
65, 230, 261

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2289144/2

Therefore the LCM of Fractions 319/130,598/460,264/522 is 1144572

Greatest Common Factor of 130,460,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,460,522 By Matching Biggest Common Factor Method

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 130,460,522 . The biggest common factor number is the GCF number.
So the greatest common factor 130,460,522 is 2.


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 319/130, 598/460, 264/522

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 319/130, 598/460, 264/522?

Answer: LCM of Numerators as per given numbers 319/130, 598/460, 264/522 is

LCM of Numerators i.e. for 319,598,264 is 2289144

GCF of denominators i.e. for 130,460,522 is 2.

Thus, LCM of Fractions is 1144572.Finally, LCM of Fractions for 319/130, 598/460, 264/522 is 1144572.