Given numbers are 416,130,718,623,974

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

The LCM of 416,130,718,623,974 is 226555594720.

Find LCM of 416,130,718,623,974 with Prime Factorization

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

2 x 13 x 16 x 5 x 359 x 623 x 487 = 226555594720

Therefore, the lowest common multiple of 416,130,718,623,974 is 226555594720.

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.

416 x 130 x 718 x 623 x 974 = 23561781850880

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.

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

130 : 1, 2, 5, 10, 13, 26, 65, 130

718 : 1, 2, 359, 718

623 : 1, 7, 89, 623

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,130,718,623,974, is 1.

Now, the common factors can be found like this.

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

130:2x 5x 13

718:2x 359

623:7x 89

974:2x 487

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 13 = 104

Therefore, the value for common factors is 104.

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 = 23561781850880/(1x104)

LCM = 23561781850880/104

LCM = 226555594720

Thus, we can understand that the LCM of 416,130,718,623,974 is 226555594720.

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

• LCM of 632, 892, 296, 269, 610
• LCM of 556, 229, 856, 104, 889
• LCM of 315, 364, 906, 486, 854
• LCM of 969, 887, 723, 148, 593
• LCM of 970, 945, 474, 805, 357

1. What is the LCM of 416, 130, 718, 623, 974?

Answer: LCM of 416, 130, 718, 623, 974 is 226555594720.

2. How to calculate the LCM of 416, 130, 718, 623, 974?

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 416, 130, 718, 623, 974.

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}.