Given numbers are 374,288,584,596

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

The LCM of 374,288,584,596 is 585791712.

Find LCM of 374,288,584,596 with Prime Factorization

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

2 x 2 x 2 x 187 x 36 x 73 x 149 = 585791712

Therefore, the lowest common multiple of 374,288,584,596 is 585791712.

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.

374 x 288 x 584 x 596 = 37490669568

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.

374 : 1, 2, 11, 17, 22, 34, 187, 374

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

584 : 1, 2, 4, 8, 73, 146, 292, 584

596 : 1, 2, 4, 149, 298, 596

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,288,584,596, is 2.

Now, the common factors can be found like this.

374:2x 11x 17

288:2x 2x 2x 2x 2x 3x 3

584:2x 2x 2x 73

596:2x 2x 149

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 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 37490669568/(2x32)

LCM = 37490669568/64

LCM = 585791712

Thus, we can understand that the LCM of 374,288,584,596 is 585791712.

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

• LCM of 999, 101, 251, 232
• LCM of 580, 837, 899, 829
• LCM of 459, 887, 967, 534
• LCM of 865, 323, 767, 103
• LCM of 477, 811, 231, 641

1. What is the LCM of 374, 288, 584, 596?

Answer: LCM of 374, 288, 584, 596 is 585791712.

2. How to calculate the LCM of 374, 288, 584, 596?

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 374, 288, 584, 596.

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}.