Given numbers are 428,748,808,882,214

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

The LCM of 428,748,808,882,214 is 7129766952.

Find LCM of 428,748,808,882,214 with Prime Factorization

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

2 x 2 x 107 x 1 x 187 x 202 x 441 x 1 = 7129766952

Therefore, the lowest common multiple of 428,748,808,882,214 is 7129766952.

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 748 x 808 x 882 x 214 = 48824644087296

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

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

808 : 1, 2, 4, 8, 101, 202, 404, 808

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,748,808,882,214, is 2.

Now, the common factors can be found like this.

428:2x 2x 107

748:2x 2x 11x 17

808:2x 2x 2x 101

882:2x 3x 3x 7x 7

214:2x 107

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 2x 107 = 3424

Therefore, the value for common factors is 3424.

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 = 48824644087296/(2x3424)

LCM = 48824644087296/6848

LCM = 7129766952

Thus, we can understand that the LCM of 428,748,808,882,214 is 7129766952.

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

• LCM of 269, 916, 422, 923, 109
• LCM of 117, 166, 858, 735, 269
• LCM of 151, 117, 765, 277, 282
• LCM of 374, 651, 580, 619, 255
• LCM of 783, 925, 343, 257, 589

1. What is the LCM of 428, 748, 808, 882, 214?

Answer: LCM of 428, 748, 808, 882, 214 is 7129766952.

2. How to calculate the LCM of 428, 748, 808, 882, 214?

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, 748, 808, 882, 214.

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}.