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LCM of 571, 461, 393, 730, 328

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


Find the LCM of 571, 461, 393, 730, 328 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 571, 461, 393, 730, 328. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 571,461,393,730,328

Given numbers are 571,461,393,730,328

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

The LCM of 571,461,393,730,328 is 12385008020760.

Find LCM of 571,461,393,730,328 with Prime Factorization


2 571, 461, 393, 730, 328
571, 461, 393, 365, 164

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

2 x 571 x 461 x 393 x 365 x 164 = 12385008020760

Therefore, the lowest common multiple of 571,461,393,730,328 is 12385008020760.

LCM Formula to Find Lowest Common Multiple of 571,461,393,730,328

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.

571 x 461 x 393 x 730 x 328 = 24770016041520

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.

571 : 1, 571

461 : 1, 461

393 : 1, 3, 131, 393

730 : 1, 2, 5, 10, 73, 146, 365, 730

328 : 1, 2, 4, 8, 41, 82, 164, 328

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 571,461,393,730,328, is 1.

Now, the common factors can be found like this.

571:571

461:461

393:3x 131

730:2x 5x 73

328:2x 2x 2x 41

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 = 24770016041520/(1x2)

LCM = 24770016041520/2

LCM = 12385008020760

Thus, we can understand that the LCM of 571,461,393,730,328 is 12385008020760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 571, 461, 393, 730, 328

1. What is the LCM of 571, 461, 393, 730, 328?

Answer: LCM of 571, 461, 393, 730, 328 is 12385008020760.

2. How to calculate the LCM of 571, 461, 393, 730, 328?

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 571, 461, 393, 730, 328.

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}.