Given numbers are 700,860,415,406

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

The LCM of 700,860,415,406 is 72450700.

Find LCM of 700,860,415,406 with Prime Factorization

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

2 x 2 x 5 x 7 x 5 x 43 x 83 x 29 = 72450700

Therefore, the lowest common multiple of 700,860,415,406 is 72450700.

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 860 x 415 x 406 = 101430980000

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

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

415 : 1, 5, 83, 415

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 700,860,415,406, is 1.

Now, the common factors can be found like this.

700:2x 2x 5x 5x 7

860:2x 2x 5x 43

415:5x 83

406:2x 7x 29

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 5x 5x 7 = 1400

Therefore, the value for common factors is 1400.

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 = 101430980000/(1x1400)

LCM = 101430980000/1400

LCM = 72450700

Thus, we can understand that the LCM of 700,860,415,406 is 72450700.

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

• LCM of 587, 778, 523, 609
• LCM of 348, 972, 899, 921
• LCM of 586, 611, 907, 382
• LCM of 501, 859, 584, 345
• LCM of 190, 685, 807, 748

1. What is the LCM of 700, 860, 415, 406?

Answer: LCM of 700, 860, 415, 406 is 72450700.

2. How to calculate the LCM of 700, 860, 415, 406?

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, 860, 415, 406.

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}.