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LCM of 724, 646, 729

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 724, 646, 729 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 724, 646, 729. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 724,646,729

Given numbers are 724,646,729

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 724,646,729 is 170478108.

Find LCM of 724,646,729 with Prime Factorization


2 724, 646, 729
362, 323, 729

Multiply the prime numbers at the bottom and the left side.

2 x 362 x 323 x 729 = 170478108

Therefore, the lowest common multiple of 724,646,729 is 170478108.

LCM Formula to Find Lowest Common Multiple of 724,646,729

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

724 x 646 x 729 = 340956216

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

724 : 1, 2, 4, 181, 362, 724

646 : 1, 2, 17, 19, 34, 38, 323, 646

729 : 1, 3, 9, 27, 81, 243, 729

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,646,729, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

646:2x 17x 19

729:3x 3x 3x 3x 3x 3

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 340956216/(1x2)

LCM = 340956216/2

LCM = 170478108

Thus, we can understand that the LCM of 724,646,729 is 170478108.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 724, 646, 729

1. What is the LCM of 724, 646, 729?

Answer: LCM of 724, 646, 729 is 170478108.

2. How to calculate the LCM of 724, 646, 729?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 724, 646, 729.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.