Given numbers are 363,572,101,738,462

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

The LCM of 363,572,101,738,462 is 1641475836.

Find LCM of 363,572,101,738,462 with Prime Factorization

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

2 x 3 x 11 x 11 x 26 x 101 x 123 x 7 = 1641475836

Therefore, the lowest common multiple of 363,572,101,738,462 is 1641475836.

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.

363 x 572 x 101 x 738 x 462 = 7150268741616

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.

363 : 1, 3, 11, 33, 121, 363

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

101 : 1, 101

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,572,101,738,462, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

572:2x 2x 11x 13

101:101

738:2x 3x 3x 41

462:2x 3x 7x 11

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 3x 3x 11x 11 = 4356

Therefore, the value for common factors is 4356.

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 = 7150268741616/(1x4356)

LCM = 7150268741616/4356

LCM = 1641475836

Thus, we can understand that the LCM of 363,572,101,738,462 is 1641475836.

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

• LCM of 351, 115, 546, 976, 140
• LCM of 473, 582, 271, 131, 740
• LCM of 508, 814, 333, 347, 822
• LCM of 410, 159, 933, 966, 368
• LCM of 769, 593, 560, 858, 259

1. What is the LCM of 363, 572, 101, 738, 462?

Answer: LCM of 363, 572, 101, 738, 462 is 1641475836.

2. How to calculate the LCM of 363, 572, 101, 738, 462?

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 363, 572, 101, 738, 462.

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}.