Given numbers are 780,868,398,506

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

The LCM of 780,868,398,506 is 8521733220.

Find LCM of 780,868,398,506 with Prime Factorization

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

2 x 2 x 195 x 217 x 199 x 253 = 8521733220

Therefore, the lowest common multiple of 780,868,398,506 is 8521733220.

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 868 x 398 x 506 = 136347731520

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

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

398 : 1, 2, 199, 398

506 : 1, 2, 11, 22, 23, 46, 253, 506

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,868,398,506, is 2.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

868:2x 2x 7x 31

398:2x 199

506:2x 11x 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 2 = 8

Therefore, the value for common factors is 8.

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 = 136347731520/(2x8)

LCM = 136347731520/16

LCM = 8521733220

Thus, we can understand that the LCM of 780,868,398,506 is 8521733220.

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

• LCM of 444, 108, 700, 816
• LCM of 374, 746, 582, 833
• LCM of 831, 413, 802, 578
• LCM of 493, 626, 504, 464
• LCM of 187, 782, 857, 191

1. What is the LCM of 780, 868, 398, 506?

Answer: LCM of 780, 868, 398, 506 is 8521733220.

2. How to calculate the LCM of 780, 868, 398, 506?

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, 868, 398, 506.

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}.