Given numbers are 513,628,734,266,380

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

The LCM of 513,628,734,266,380 is 4138196580.

Find LCM of 513,628,734,266,380 with Prime Factorization

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

2 x 2 x 19 x 27 x 157 x 367 x 7 x 5 = 4138196580

Therefore, the lowest common multiple of 513,628,734,266,380 is 4138196580.

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.

513 x 628 x 734 x 266 x 380 = 23902223446080

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

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

734 : 1, 2, 367, 734

266 : 1, 2, 7, 14, 19, 38, 133, 266

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,628,734,266,380, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

628:2x 2x 157

734:2x 367

266:2x 7x 19

380:2x 2x 5x 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 19x 19 = 5776

Therefore, the value for common factors is 5776.

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 = 23902223446080/(1x5776)

LCM = 23902223446080/5776

LCM = 4138196580

Thus, we can understand that the LCM of 513,628,734,266,380 is 4138196580.

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

• LCM of 618, 399, 704, 158, 923
• LCM of 361, 447, 946, 152, 374
• LCM of 458, 103, 336, 730, 638
• LCM of 720, 646, 887, 267, 496
• LCM of 800, 368, 821, 984, 430

1. What is the LCM of 513, 628, 734, 266, 380?

Answer: LCM of 513, 628, 734, 266, 380 is 4138196580.

2. How to calculate the LCM of 513, 628, 734, 266, 380?

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 513, 628, 734, 266, 380.

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}.