Given numbers are 730,742,536,466,412

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

The LCM of 730,742,536,466,412 is 1741905977560.

Find LCM of 730,742,536,466,412 with Prime Factorization

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

2 x 2 x 365 x 371 x 134 x 233 x 103 = 1741905977560

Therefore, the lowest common multiple of 730,742,536,466,412 is 1741905977560.

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.

730 x 742 x 536 x 466 x 412 = 55740991281920

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.

730 : 1, 2, 5, 10, 73, 146, 365, 730

742 : 1, 2, 7, 14, 53, 106, 371, 742

536 : 1, 2, 4, 8, 67, 134, 268, 536

466 : 1, 2, 233, 466

412 : 1, 2, 4, 103, 206, 412

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,742,536,466,412, is 2.

Now, the common factors can be found like this.

730:2x 5x 73

742:2x 7x 53

536:2x 2x 2x 67

466:2x 233

412:2x 2x 103

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 2 = 16

Therefore, the value for common factors is 16.

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 = 55740991281920/(2x16)

LCM = 55740991281920/32

LCM = 1741905977560

Thus, we can understand that the LCM of 730,742,536,466,412 is 1741905977560.

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

• LCM of 623, 540, 329, 152, 396
• LCM of 493, 713, 919, 742, 190
• LCM of 570, 636, 497, 539, 148
• LCM of 214, 496, 954, 566, 985
• LCM of 505, 136, 459, 547, 355

1. What is the LCM of 730, 742, 536, 466, 412?

Answer: LCM of 730, 742, 536, 466, 412 is 1741905977560.

2. How to calculate the LCM of 730, 742, 536, 466, 412?

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 730, 742, 536, 466, 412.

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}.