Given numbers are 912,380,442,974

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

The LCM of 912,380,442,974 is 490779120.

Find LCM of 912,380,442,974 with Prime Factorization

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

2 x 2 x 19 x 12 x 5 x 221 x 487 = 490779120

Therefore, the lowest common multiple of 912,380,442,974 is 490779120.

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.

912 x 380 x 442 x 974 = 149196852480

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.

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

442 : 1, 2, 13, 17, 26, 34, 221, 442

974 : 1, 2, 487, 974

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 912,380,442,974, is 2.

Now, the common factors can be found like this.

912:2x 2x 2x 2x 3x 19

380:2x 2x 5x 19

442:2x 13x 17

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 19 = 152

Therefore, the value for common factors is 152.

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 = 149196852480/(2x152)

LCM = 149196852480/304

LCM = 490779120

Thus, we can understand that the LCM of 912,380,442,974 is 490779120.

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

• LCM of 124, 600, 797, 359
• LCM of 832, 417, 290, 766
• LCM of 764, 360, 494, 148
• LCM of 828, 955, 643, 968
• LCM of 749, 845, 601, 117

1. What is the LCM of 912, 380, 442, 974?

Answer: LCM of 912, 380, 442, 974 is 490779120.

2. How to calculate the LCM of 912, 380, 442, 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 912, 380, 442, 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}.