Given numbers are 984,402,375,414

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

The LCM of 984,402,375,414 is 568629000.

Find LCM of 984,402,375,414 with Prime Factorization

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

2 x 3 x 164 x 67 x 125 x 69 = 568629000

Therefore, the lowest common multiple of 984,402,375,414 is 568629000.

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.

984 x 402 x 375 x 414 = 61411932000

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.

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

402 : 1, 2, 3, 6, 67, 134, 201, 402

375 : 1, 3, 5, 15, 25, 75, 125, 375

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,402,375,414, is 3.

Now, the common factors can be found like this.

984:2x 2x 2x 3x 41

402:2x 3x 67

375:3x 5x 5x 5

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 2x 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 61411932000/(3x36)

LCM = 61411932000/108

LCM = 568629000

Thus, we can understand that the LCM of 984,402,375,414 is 568629000.

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

• LCM of 808, 186, 383, 401
• LCM of 954, 734, 382, 494
• LCM of 435, 823, 964, 991
• LCM of 330, 950, 743, 670
• LCM of 792, 921, 300, 415

1. What is the LCM of 984, 402, 375, 414?

Answer: LCM of 984, 402, 375, 414 is 568629000.

2. How to calculate the LCM of 984, 402, 375, 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 984, 402, 375, 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}.