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LCM of 554, 324, 391, 460, 532

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


Find the LCM of 554, 324, 391, 460, 532 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 554, 324, 391, 460, 532. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 554,324,391,460,532

Given numbers are 554,324,391,460,532

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

The LCM of 554,324,391,460,532 is 23335826220.

Find LCM of 554,324,391,460,532 with Prime Factorization


2 554, 324, 391, 460, 532
2 277, 162, 391, 230, 266
23 277, 81, 391, 115, 133
277, 81, 17, 5, 133

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

2 x 2 x 23 x 277 x 81 x 17 x 5 x 133 = 23335826220

Therefore, the lowest common multiple of 554,324,391,460,532 is 23335826220.

LCM Formula to Find Lowest Common Multiple of 554,324,391,460,532

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.

554 x 324 x 391 x 460 x 532 = 17175168097920

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.

554 : 1, 2, 277, 554

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

391 : 1, 17, 23, 391

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

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 554,324,391,460,532, is 1.

Now, the common factors can be found like this.

554:2x 277

324:2x 2x 3x 3x 3x 3

391:17x 23

460:2x 2x 5x 23

532:2x 2x 7x 19

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

2x 2x 2x 2x 2x 23 = 736

Therefore, the value for common factors is 736.

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 = 17175168097920/(1x736)

LCM = 17175168097920/736

LCM = 23335826220

Thus, we can understand that the LCM of 554,324,391,460,532 is 23335826220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 554, 324, 391, 460, 532

1. What is the LCM of 554, 324, 391, 460, 532?

Answer: LCM of 554, 324, 391, 460, 532 is 23335826220.

2. How to calculate the LCM of 554, 324, 391, 460, 532?

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 554, 324, 391, 460, 532.

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}.