Given numbers are 628,138,784,280,553

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

The LCM of 628,138,784,280,553 is 3354763440.

Find LCM of 628,138,784,280,553 with Prime Factorization

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

2 x 2 x 2 x 7 x 157 x 69 x 14 x 5 x 79 = 3354763440

Therefore, the lowest common multiple of 628,138,784,280,553 is 3354763440.

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.

628 x 138 x 784 x 280 x 553 = 10520538147840

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.

628 : 1, 2, 4, 157, 314, 628

138 : 1, 2, 3, 6, 23, 46, 69, 138

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

553 : 1, 7, 79, 553

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,138,784,280,553, is 1.

Now, the common factors can be found like this.

628:2x 2x 157

138:2x 3x 23

784:2x 2x 2x 2x 7x 7

280:2x 2x 2x 5x 7

553:7x 79

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 2x 7x 7 = 3136

Therefore, the value for common factors is 3136.

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 = 10520538147840/(1x3136)

LCM = 10520538147840/3136

LCM = 3354763440

Thus, we can understand that the LCM of 628,138,784,280,553 is 3354763440.

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

• LCM of 510, 669, 620, 308, 883
• LCM of 815, 812, 746, 707, 580
• LCM of 223, 552, 761, 961, 487
• LCM of 613, 370, 375, 550, 733
• LCM of 394, 281, 132, 986, 109

1. What is the LCM of 628, 138, 784, 280, 553?

Answer: LCM of 628, 138, 784, 280, 553 is 3354763440.

2. How to calculate the LCM of 628, 138, 784, 280, 553?

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 628, 138, 784, 280, 553.

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}.