Given numbers are 428,346,802,715

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

The LCM of 428,346,802,715 is 21229525460.

Find LCM of 428,346,802,715 with Prime Factorization

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

2 x 214 x 173 x 401 x 715 = 21229525460

Therefore, the lowest common multiple of 428,346,802,715 is 21229525460.

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.

428 x 346 x 802 x 715 = 84918101840

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.

428 : 1, 2, 4, 107, 214, 428

346 : 1, 2, 173, 346

802 : 1, 2, 401, 802

715 : 1, 5, 11, 13, 55, 65, 143, 715

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,346,802,715, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

346:2x 173

802:2x 401

715:5x 11x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 84918101840/(1x4)

LCM = 84918101840/4

LCM = 21229525460

Thus, we can understand that the LCM of 428,346,802,715 is 21229525460.

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

• LCM of 443, 441, 117, 847
• LCM of 214, 698, 660, 665
• LCM of 271, 499, 396, 565
• LCM of 700, 881, 818, 501
• LCM of 593, 218, 301, 433

1. What is the LCM of 428, 346, 802, 715?

Answer: LCM of 428, 346, 802, 715 is 21229525460.

2. How to calculate the LCM of 428, 346, 802, 715?

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 428, 346, 802, 715.

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}.