Given numbers are 390,171,291,537,776

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

The LCM of 390,171,291,537,776 is 1543917960.

Find LCM of 390,171,291,537,776 with Prime Factorization

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

2 x 3 x 97 x 65 x 57 x 1 x 179 x 4 = 1543917960

Therefore, the lowest common multiple of 390,171,291,537,776 is 1543917960.

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.

390 x 171 x 291 x 537 x 776 = 8087042274480

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.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

171 : 1, 3, 9, 19, 57, 171

291 : 1, 3, 97, 291

537 : 1, 3, 179, 537

776 : 1, 2, 4, 8, 97, 194, 388, 776

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,171,291,537,776, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

171:3x 3x 19

291:3x 97

537:3x 179

776:2x 2x 2x 97

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

2x 3x 3x 3x 97 = 5238

Therefore, the value for common factors is 5238.

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 = 8087042274480/(1x5238)

LCM = 8087042274480/5238

LCM = 1543917960

Thus, we can understand that the LCM of 390,171,291,537,776 is 1543917960.

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

• LCM of 668, 519, 748, 504, 394
• LCM of 341, 643, 790, 759, 174
• LCM of 344, 501, 561, 641, 180
• LCM of 114, 822, 439, 285, 300
• LCM of 831, 741, 353, 430, 521

1. What is the LCM of 390, 171, 291, 537, 776?

Answer: LCM of 390, 171, 291, 537, 776 is 1543917960.

2. How to calculate the LCM of 390, 171, 291, 537, 776?

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 390, 171, 291, 537, 776.

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}.