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LCM of 391, 353, 637, 329, 552

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


Find the LCM of 391, 353, 637, 329, 552 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 391, 353, 637, 329, 552. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 391,353,637,329,552

Given numbers are 391,353,637,329,552

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

The LCM of 391,353,637,329,552 is 99174494328.

Find LCM of 391,353,637,329,552 with Prime Factorization


7 391, 353, 637, 329, 552
23 391, 353, 91, 47, 552
17, 353, 91, 47, 24

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

7 x 23 x 17 x 353 x 91 x 47 x 24 = 99174494328

Therefore, the lowest common multiple of 391,353,637,329,552 is 99174494328.

LCM Formula to Find Lowest Common Multiple of 391,353,637,329,552

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.

391 x 353 x 637 x 329 x 552 = 15967093586808

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.

391 : 1, 17, 23, 391

353 : 1, 353

637 : 1, 7, 13, 49, 91, 637

329 : 1, 7, 47, 329

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,353,637,329,552, is 1.

Now, the common factors can be found like this.

391:17x 23

353:353

637:7x 7x 13

329:7x 47

552:2x 2x 2x 3x 23

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

7x 23 = 161

Therefore, the value for common factors is 161.

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 = 15967093586808/(1x161)

LCM = 15967093586808/161

LCM = 99174494328

Thus, we can understand that the LCM of 391,353,637,329,552 is 99174494328.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 391, 353, 637, 329, 552

1. What is the LCM of 391, 353, 637, 329, 552?

Answer: LCM of 391, 353, 637, 329, 552 is 99174494328.

2. How to calculate the LCM of 391, 353, 637, 329, 552?

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 391, 353, 637, 329, 552.

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}.