Given numbers are 780,348,468,528,306

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

The LCM of 780,348,468,528,306 is 50759280.

Find LCM of 780,348,468,528,306 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 5 x 29 x 1 x 44 x 17 = 50759280

Therefore, the lowest common multiple of 780,348,468,528,306 is 50759280.

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 348 x 468 x 528 x 306 = 20524616386560

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

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,348,468,528,306, is 6.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

348:2x 2x 3x 29

468:2x 2x 3x 3x 13

528:2x 2x 2x 2x 3x 11

306:2x 3x 3x 17

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 2x 2x 2x 3x 3x 3x 3x 13 = 67392

Therefore, the value for common factors is 67392.

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 = 20524616386560/(6x67392)

LCM = 20524616386560/404352

LCM = 50759280

Thus, we can understand that the LCM of 780,348,468,528,306 is 50759280.

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

• LCM of 981, 398, 174, 768, 128
• LCM of 544, 425, 859, 442, 125
• LCM of 374, 825, 832, 299, 484
• LCM of 612, 401, 404, 707, 980
• LCM of 484, 994, 755, 481, 635

1. What is the LCM of 780, 348, 468, 528, 306?

Answer: LCM of 780, 348, 468, 528, 306 is 50759280.

2. How to calculate the LCM of 780, 348, 468, 528, 306?

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, 348, 468, 528, 306.

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}.