Given numbers are 553,692,320,378,588

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

The LCM of 553,692,320,378,588 is 5786061120.

Find LCM of 553,692,320,378,588 with Prime Factorization

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

2 x 2 x 3 x 7 x 79 x 173 x 80 x 9 x 7 = 5786061120

Therefore, the lowest common multiple of 553,692,320,378,588 is 5786061120.

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.

553 x 692 x 320 x 378 x 588 = 27217631508480

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.

553 : 1, 7, 79, 553

692 : 1, 2, 4, 173, 346, 692

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 553,692,320,378,588, is 1.

Now, the common factors can be found like this.

553:7x 79

692:2x 2x 173

320:2x 2x 2x 2x 2x 2x 5

378:2x 3x 3x 3x 7

588:2x 2x 3x 7x 7

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 3x 7x 7 = 4704

Therefore, the value for common factors is 4704.

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 = 27217631508480/(1x4704)

LCM = 27217631508480/4704

LCM = 5786061120

Thus, we can understand that the LCM of 553,692,320,378,588 is 5786061120.

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

• LCM of 248, 630, 375, 481, 231
• LCM of 799, 143, 962, 738, 674
• LCM of 611, 170, 409, 233, 178
• LCM of 237, 721, 303, 661, 384
• LCM of 500, 397, 385, 721, 308

1. What is the LCM of 553, 692, 320, 378, 588?

Answer: LCM of 553, 692, 320, 378, 588 is 5786061120.

2. How to calculate the LCM of 553, 692, 320, 378, 588?

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 553, 692, 320, 378, 588.

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}.