Given numbers are 493,119,759,312,372

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

The LCM of 493,119,759,312,372 is 8444652216.

Find LCM of 493,119,759,312,372 with Prime Factorization

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

2 x 2 x 3 x 17 x 29 x 7 x 253 x 26 x 31 = 8444652216

Therefore, the lowest common multiple of 493,119,759,312,372 is 8444652216.

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.

493 x 119 x 759 x 312 x 372 = 5168127156192

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.

493 : 1, 17, 29, 493

119 : 1, 7, 17, 119

759 : 1, 3, 11, 23, 33, 69, 253, 759

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

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,119,759,312,372, is 1.

Now, the common factors can be found like this.

493:17x 29

119:7x 17

759:3x 11x 23

312:2x 2x 2x 3x 13

372:2x 2x 3x 31

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 17 = 612

Therefore, the value for common factors is 612.

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 = 5168127156192/(1x612)

LCM = 5168127156192/612

LCM = 8444652216

Thus, we can understand that the LCM of 493,119,759,312,372 is 8444652216.

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

• LCM of 128, 630, 624, 740, 520
• LCM of 557, 288, 758, 773, 839
• LCM of 117, 151, 510, 583, 637
• LCM of 461, 663, 758, 288, 949
• LCM of 130, 217, 455, 716, 364

1. What is the LCM of 493, 119, 759, 312, 372?

Answer: LCM of 493, 119, 759, 312, 372 is 8444652216.

2. How to calculate the LCM of 493, 119, 759, 312, 372?

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 493, 119, 759, 312, 372.

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}.