Given numbers are 780,416,318,398

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

The LCM of 780,416,318,398 is 65813280.

Find LCM of 780,416,318,398 with Prime Factorization

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

2 x 2 x 3 x 13 x 5 x 8 x 53 x 199 = 65813280

Therefore, the lowest common multiple of 780,416,318,398 is 65813280.

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.

780 x 416 x 318 x 398 = 41067486720

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.

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

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

318 : 1, 2, 3, 6, 53, 106, 159, 318

398 : 1, 2, 199, 398

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,416,318,398, is 2.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

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

318:2x 3x 53

398:2x 199

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 3x 13 = 312

Therefore, the value for common factors is 312.

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 = 41067486720/(2x312)

LCM = 41067486720/624

LCM = 65813280

Thus, we can understand that the LCM of 780,416,318,398 is 65813280.

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

• LCM of 808, 666, 705, 327
• LCM of 474, 378, 521, 586
• LCM of 629, 875, 386, 448
• LCM of 964, 502, 623, 337
• LCM of 305, 158, 715, 384

1. What is the LCM of 780, 416, 318, 398?

Answer: LCM of 780, 416, 318, 398 is 65813280.

2. How to calculate the LCM of 780, 416, 318, 398?

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 780, 416, 318, 398.

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}.