Given numbers are 426,321,198,690,372

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

The LCM of 426,321,198,690,372 is 10724988780.

Find LCM of 426,321,198,690,372 with Prime Factorization

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

2 x 3 x 71 x 107 x 33 x 115 x 62 = 10724988780

Therefore, the lowest common multiple of 426,321,198,690,372 is 10724988780.

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.

426 x 321 x 198 x 690 x 372 = 6949792729440

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

321 : 1, 3, 107, 321

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,321,198,690,372, is 3.

Now, the common factors can be found like this.

426:2x 3x 71

321:3x 107

198:2x 3x 3x 11

690:2x 3x 5x 23

372:2x 2x 3x 31

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 = 6949792729440/(3x216)

LCM = 6949792729440/648

LCM = 10724988780

Thus, we can understand that the LCM of 426,321,198,690,372 is 10724988780.

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

• LCM of 316, 182, 791, 929, 691
• LCM of 392, 671, 758, 461, 811
• LCM of 326, 653, 146, 967, 214
• LCM of 897, 716, 390, 954, 962
• LCM of 469, 944, 847, 663, 505

1. What is the LCM of 426, 321, 198, 690, 372?

Answer: LCM of 426, 321, 198, 690, 372 is 10724988780.

2. How to calculate the LCM of 426, 321, 198, 690, 372?

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 426, 321, 198, 690, 372.

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}.