Given numbers are 471,493,363,624,442

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

The LCM of 471,493,363,624,442 is 5844085104.

Find LCM of 471,493,363,624,442 with Prime Factorization

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

2 x 3 x 13 x 17 x 157 x 29 x 121 x 8 x 1 = 5844085104

Therefore, the lowest common multiple of 471,493,363,624,442 is 5844085104.

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.

471 x 493 x 363 x 624 x 442 = 23247770543712

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.

471 : 1, 3, 157, 471

493 : 1, 17, 29, 493

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

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,493,363,624,442, is 1.

Now, the common factors can be found like this.

471:3x 157

493:17x 29

363:3x 11x 11

624:2x 2x 2x 2x 3x 13

442:2x 13x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 13x 17 = 3978

Therefore, the value for common factors is 3978.

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 = 23247770543712/(1x3978)

LCM = 23247770543712/3978

LCM = 5844085104

Thus, we can understand that the LCM of 471,493,363,624,442 is 5844085104.

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

• LCM of 283, 972, 286, 832, 241
• LCM of 921, 149, 143, 828, 369
• LCM of 562, 693, 519, 683, 726
• LCM of 818, 293, 260, 317, 635
• LCM of 851, 723, 728, 583, 498

1. What is the LCM of 471, 493, 363, 624, 442?

Answer: LCM of 471, 493, 363, 624, 442 is 5844085104.

2. How to calculate the LCM of 471, 493, 363, 624, 442?

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 471, 493, 363, 624, 442.

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}.