Given numbers are 974,422,938,414

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

The LCM of 974,422,938,414 is 19951915662.

Find LCM of 974,422,938,414 with Prime Factorization

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

2 x 487 x 211 x 469 x 207 = 19951915662

Therefore, the lowest common multiple of 974,422,938,414 is 19951915662.

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.

974 x 422 x 938 x 414 = 159615325296

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.

974 : 1, 2, 487, 974

422 : 1, 2, 211, 422

938 : 1, 2, 7, 14, 67, 134, 469, 938

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,422,938,414, is 2.

Now, the common factors can be found like this.

974:2x 487

422:2x 211

938:2x 7x 67

414:2x 3x 3x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 159615325296/(2x4)

LCM = 159615325296/8

LCM = 19951915662

Thus, we can understand that the LCM of 974,422,938,414 is 19951915662.

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

• LCM of 806, 281, 128, 904
• LCM of 876, 178, 611, 266
• LCM of 429, 526, 708, 767
• LCM of 372, 647, 171, 399
• LCM of 810, 530, 980, 659

1. What is the LCM of 974, 422, 938, 414?

Answer: LCM of 974, 422, 938, 414 is 19951915662.

2. How to calculate the LCM of 974, 422, 938, 414?

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 974, 422, 938, 414.

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}.