Given numbers are 882,674,754,375,414

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

The LCM of 882,674,754,375,414 is 322164501750.

Find LCM of 882,674,754,375,414 with Prime Factorization

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

2 x 3 x 3 x 49 x 337 x 377 x 125 x 23 = 322164501750

Therefore, the lowest common multiple of 882,674,754,375,414 is 322164501750.

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 674 x 754 x 375 x 414 = 69587532378000

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

674 : 1, 2, 337, 674

754 : 1, 2, 13, 26, 29, 58, 377, 754

375 : 1, 3, 5, 15, 25, 75, 125, 375

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,674,754,375,414, is 1.

Now, the common factors can be found like this.

882:2x 3x 3x 7x 7

674:2x 337

754:2x 13x 29

375:3x 5x 5x 5

414:2x 3x 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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 69587532378000/(1x216)

LCM = 69587532378000/216

LCM = 322164501750

Thus, we can understand that the LCM of 882,674,754,375,414 is 322164501750.

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

• LCM of 713, 187, 626, 700, 736
• LCM of 470, 441, 139, 676, 226
• LCM of 621, 233, 874, 467, 377
• LCM of 258, 284, 611, 277, 260
• LCM of 601, 139, 979, 659, 858

1. What is the LCM of 882, 674, 754, 375, 414?

Answer: LCM of 882, 674, 754, 375, 414 is 322164501750.

2. How to calculate the LCM of 882, 674, 754, 375, 414?

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, 674, 754, 375, 414.

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}.