Given numbers are 454,420,234,946,446

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

The LCM of 454,420,234,946,446 is 392198346540.

Find LCM of 454,420,234,946,446 with Prime Factorization

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

2 x 3 x 227 x 70 x 39 x 473 x 223 = 392198346540

Therefore, the lowest common multiple of 454,420,234,946,446 is 392198346540.

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.

454 x 420 x 234 x 946 x 446 = 18825520633920

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.

454 : 1, 2, 227, 454

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

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

946 : 1, 2, 11, 22, 43, 86, 473, 946

446 : 1, 2, 223, 446

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,420,234,946,446, is 2.

Now, the common factors can be found like this.

454:2x 227

420:2x 2x 3x 5x 7

234:2x 3x 3x 13

946:2x 11x 43

446:2x 223

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 3 = 24

Therefore, the value for common factors is 24.

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 = 18825520633920/(2x24)

LCM = 18825520633920/48

LCM = 392198346540

Thus, we can understand that the LCM of 454,420,234,946,446 is 392198346540.

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

• LCM of 936, 369, 564, 603, 100
• LCM of 443, 452, 708, 526, 159
• LCM of 493, 448, 829, 699, 501
• LCM of 922, 123, 616, 916, 173
• LCM of 636, 652, 633, 343, 104

1. What is the LCM of 454, 420, 234, 946, 446?

Answer: LCM of 454, 420, 234, 946, 446 is 392198346540.

2. How to calculate the LCM of 454, 420, 234, 946, 446?

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 454, 420, 234, 946, 446.

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}.