Given numbers are 882,416,238,552

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

The LCM of 882,416,238,552 is 71731296.

Find LCM of 882,416,238,552 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 21 x 52 x 17 x 23 = 71731296

Therefore, the lowest common multiple of 882,416,238,552 is 71731296.

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.

882 x 416 x 238 x 552 = 48203430912

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.

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

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

238 : 1, 2, 7, 14, 17, 34, 119, 238

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,416,238,552, is 2.

Now, the common factors can be found like this.

882:2x 3x 3x 7x 7

416:2x 2x 2x 2x 2x 13

238:2x 7x 17

552:2x 2x 2x 3x 23

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 3x 7 = 336

Therefore, the value for common factors is 336.

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 = 48203430912/(2x336)

LCM = 48203430912/672

LCM = 71731296

Thus, we can understand that the LCM of 882,416,238,552 is 71731296.

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

• LCM of 114, 339, 606, 465
• LCM of 998, 525, 632, 381
• LCM of 671, 554, 434, 730
• LCM of 798, 816, 594, 961
• LCM of 393, 861, 244, 447

1. What is the LCM of 882, 416, 238, 552?

Answer: LCM of 882, 416, 238, 552 is 71731296.

2. How to calculate the LCM of 882, 416, 238, 552?

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 882, 416, 238, 552.

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}.