Given numbers are 790,345,888,420

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

The LCM of 790,345,888,420 is 56472360.

Find LCM of 790,345,888,420 with Prime Factorization

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

2 x 2 x 3 x 5 x 79 x 23 x 74 x 7 = 56472360

Therefore, the lowest common multiple of 790,345,888,420 is 56472360.

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.

790 x 345 x 888 x 420 = 101650248000

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.

790 : 1, 2, 5, 10, 79, 158, 395, 790

345 : 1, 3, 5, 15, 23, 69, 115, 345

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 790,345,888,420, is 1.

Now, the common factors can be found like this.

790:2x 5x 79

345:3x 5x 23

888:2x 2x 2x 3x 37

420:2x 2x 3x 5x 7

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 3x 3x 5x 5 = 1800

Therefore, the value for common factors is 1800.

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 = 101650248000/(1x1800)

LCM = 101650248000/1800

LCM = 56472360

Thus, we can understand that the LCM of 790,345,888,420 is 56472360.

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

• LCM of 401, 353, 753, 333
• LCM of 354, 680, 774, 652
• LCM of 302, 131, 817, 230
• LCM of 803, 991, 422, 934
• LCM of 260, 454, 769, 380

1. What is the LCM of 790, 345, 888, 420?

Answer: LCM of 790, 345, 888, 420 is 56472360.

2. How to calculate the LCM of 790, 345, 888, 420?

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 790, 345, 888, 420.

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}.