Given numbers are 700,770,214,728,511

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

The LCM of 700,770,214,728,511 is 1563762200.

Find LCM of 700,770,214,728,511 with Prime Factorization

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

2 x 2 x 5 x 7 x 5 x 11 x 107 x 26 x 73 = 1563762200

Therefore, the lowest common multiple of 700,770,214,728,511 is 1563762200.

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.

700 x 770 x 214 x 728 x 511 = 42909634768000

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.

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

214 : 1, 2, 107, 214

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

511 : 1, 7, 73, 511

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 700,770,214,728,511, is 1.

Now, the common factors can be found like this.

700:2x 2x 5x 5x 7

770:2x 5x 7x 11

214:2x 107

728:2x 2x 2x 7x 13

511:7x 73

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 5x 7x 7x 7 = 27440

Therefore, the value for common factors is 27440.

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 = 42909634768000/(1x27440)

LCM = 42909634768000/27440

LCM = 1563762200

Thus, we can understand that the LCM of 700,770,214,728,511 is 1563762200.

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

• LCM of 634, 560, 986, 390, 756
• LCM of 975, 912, 203, 399, 303
• LCM of 321, 137, 533, 619, 594
• LCM of 458, 180, 696, 936, 458
• LCM of 447, 826, 983, 220, 776

1. What is the LCM of 700, 770, 214, 728, 511?

Answer: LCM of 700, 770, 214, 728, 511 is 1563762200.

2. How to calculate the LCM of 700, 770, 214, 728, 511?

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 700, 770, 214, 728, 511.

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}.