Given numbers are 420,446,888,951,438

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

The LCM of 420,446,888,951,438 is 160386568440.

Find LCM of 420,446,888,951,438 with Prime Factorization

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

2 x 2 x 3 x 35 x 223 x 74 x 317 x 73 = 160386568440

Therefore, the lowest common multiple of 420,446,888,951,438 is 160386568440.

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.

420 x 446 x 888 x 951 x 438 = 69286997566080

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.

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

446 : 1, 2, 223, 446

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

951 : 1, 3, 317, 951

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,446,888,951,438, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

446:2x 223

888:2x 2x 2x 3x 37

951:3x 317

438:2x 3x 73

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 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 69286997566080/(1x432)

LCM = 69286997566080/432

LCM = 160386568440

Thus, we can understand that the LCM of 420,446,888,951,438 is 160386568440.

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

• LCM of 796, 688, 909, 577, 836
• LCM of 260, 965, 242, 612, 921
• LCM of 900, 303, 697, 911, 615
• LCM of 300, 293, 138, 552, 368
• LCM of 813, 331, 864, 833, 834

1. What is the LCM of 420, 446, 888, 951, 438?

Answer: LCM of 420, 446, 888, 951, 438 is 160386568440.

2. How to calculate the LCM of 420, 446, 888, 951, 438?

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 420, 446, 888, 951, 438.

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}.