Given numbers are 578,101,588,757,920

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

The LCM of 578,101,588,757,920 is 2988272912520.

Find LCM of 578,101,588,757,920 with Prime Factorization

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

2 x 2 x 289 x 101 x 147 x 757 x 230 = 2988272912520

Therefore, the lowest common multiple of 578,101,588,757,920 is 2988272912520.

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.

578 x 101 x 588 x 757 x 920 = 23906183300160

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.

578 : 1, 2, 17, 34, 289, 578

101 : 1, 101

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

757 : 1, 757

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,101,588,757,920, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

101:101

588:2x 2x 3x 7x 7

757:757

920:2x 2x 2x 5x 23

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 2 = 8

Therefore, the value for common factors is 8.

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 = 23906183300160/(1x8)

LCM = 23906183300160/8

LCM = 2988272912520

Thus, we can understand that the LCM of 578,101,588,757,920 is 2988272912520.

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

• LCM of 772, 698, 376, 719, 370
• LCM of 102, 563, 634, 663, 458
• LCM of 160, 402, 835, 872, 440
• LCM of 696, 791, 826, 136, 375
• LCM of 516, 867, 582, 869, 483

1. What is the LCM of 578, 101, 588, 757, 920?

Answer: LCM of 578, 101, 588, 757, 920 is 2988272912520.

2. How to calculate the LCM of 578, 101, 588, 757, 920?

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 578, 101, 588, 757, 920.

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}.