Given numbers are 590,936,924,974

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

The LCM of 590,936,924,974 is 10354223880.

Find LCM of 590,936,924,974 with Prime Factorization

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

2 x 2 x 3 x 295 x 78 x 77 x 487 = 10354223880

Therefore, the lowest common multiple of 590,936,924,974 is 10354223880.

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.

590 x 936 x 924 x 974 = 497002746240

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.

590 : 1, 2, 5, 10, 59, 118, 295, 590

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

974 : 1, 2, 487, 974

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,936,924,974, is 2.

Now, the common factors can be found like this.

590:2x 5x 59

936:2x 2x 2x 3x 3x 13

924:2x 2x 3x 7x 11

974:2x 487

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 3 = 24

Therefore, the value for common factors is 24.

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 = 497002746240/(2x24)

LCM = 497002746240/48

LCM = 10354223880

Thus, we can understand that the LCM of 590,936,924,974 is 10354223880.

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

• LCM of 541, 840, 511, 980
• LCM of 768, 696, 832, 704
• LCM of 759, 405, 665, 547
• LCM of 379, 804, 672, 166
• LCM of 817, 482, 253, 698

1. What is the LCM of 590, 936, 924, 974?

Answer: LCM of 590, 936, 924, 974 is 10354223880.

2. How to calculate the LCM of 590, 936, 924, 974?

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 590, 936, 924, 974.

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}.