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LCM of 544, 637, 441, 356, 289

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


Find the LCM of 544, 637, 441, 356, 289 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 544, 637, 441, 356, 289. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 544,637,441,356,289

Given numbers are 544,637,441,356,289

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

The LCM of 544,637,441,356,289 is 4718671776.

Find LCM of 544,637,441,356,289 with Prime Factorization


2 544, 637, 441, 356, 289
2 272, 637, 441, 178, 289
7 136, 637, 441, 89, 289
7 136, 91, 63, 89, 289
17 136, 13, 9, 89, 289
8, 13, 9, 89, 17

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

2 x 2 x 7 x 7 x 17 x 8 x 13 x 9 x 89 x 17 = 4718671776

Therefore, the lowest common multiple of 544,637,441,356,289 is 4718671776.

LCM Formula to Find Lowest Common Multiple of 544,637,441,356,289

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.

544 x 637 x 441 x 356 x 289 = 15722614357632

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.

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

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

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

356 : 1, 2, 4, 89, 178, 356

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,637,441,356,289, is 1.

Now, the common factors can be found like this.

544:2x 2x 2x 2x 2x 17

637:7x 7x 13

441:3x 3x 7x 7

356:2x 2x 89

289:17x 17

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 7x 7x 17 = 3332

Therefore, the value for common factors is 3332.

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 = 15722614357632/(1x3332)

LCM = 15722614357632/3332

LCM = 4718671776

Thus, we can understand that the LCM of 544,637,441,356,289 is 4718671776.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 544, 637, 441, 356, 289

1. What is the LCM of 544, 637, 441, 356, 289?

Answer: LCM of 544, 637, 441, 356, 289 is 4718671776.

2. How to calculate the LCM of 544, 637, 441, 356, 289?

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 544, 637, 441, 356, 289.

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}.