Least Common Multiple of 329/498, 504/513, 540/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 329/498, 504/513, 540/460 quickly i.e. 355320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 329/498, 504/513, 540/460 is 355320.

LCM(329/498, 504/513, 540/460) = 355320

LCM of 329/498, 504/513, 540/460

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 329/498,504/513,540/460

Given numbers are 329/498,504/513,540/460

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 329,504,540

Least Common Multiple of Numerators i.e. LCM of 329,504,540 is 355320.

GCF of Denominators means GCF of 498,513,460 as per the given fractions.

GCF of 498,513,460 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 329,504,540

LCM of Fractions 329/498,504/513,540/460 is 355320

2 329, 504, 540
2 329, 252, 270
3 329, 126, 135
3 329, 42, 45
7 329, 14, 15
47, 2, 15

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 47 x 2 x 15 = 355320

Least Common Multiple of 329,504,540 with GCF Formula

Least Common Multiple of 329,504,540 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 329,504,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(329,504,540) = 1

common factors(in case of two or more numbers have common factors) = 252

GCF(329,504,540) x common factors =1 x 252 = 252

LCM(329,504,540) = ( 329 × 504 × 540 ) / 252

LCM(329,504,540) = 89540640 / 252

LCM(329,504,540) = 355320


Lets's calculate GCF of 498,513,460

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 355320/1

Therefore the LCM of Fractions 329/498,504/513,540/460 is 355320

Greatest Common Factor of 498,513,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 498,513,460 By Matching Biggest Common Factor Method

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

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

Greatest Common Factor

We found the factors 498,513,460 . The biggest common factor number is the GCF number.
So the greatest common factor 498,513,460 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 329/498, 504/513, 540/460

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 329/498, 504/513, 540/460?

Answer: LCM of Numerators as per given numbers 329/498, 504/513, 540/460 is

LCM of Numerators i.e. for 329,504,540 is 355320

GCF of denominators i.e. for 498,513,460 is 1.

Thus, LCM of Fractions is 355320.Finally, LCM of Fractions for 329/498, 504/513, 540/460 is 355320.