Given numbers are 780,680,924,718,365

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

The LCM of 780,680,924,718,365 is 53515742280.

Find LCM of 780,680,924,718,365 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 34 x 77 x 359 x 73 = 53515742280

Therefore, the lowest common multiple of 780,680,924,718,365 is 53515742280.

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 680 x 924 x 718 x 365 = 128437781472000

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

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

718 : 1, 2, 359, 718

365 : 1, 5, 73, 365

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,680,924,718,365, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

680:2x 2x 2x 5x 17

924:2x 2x 3x 7x 11

718:2x 359

365:5x 73

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 3x 5x 5 = 2400

Therefore, the value for common factors is 2400.

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 = 128437781472000/(1x2400)

LCM = 128437781472000/2400

LCM = 53515742280

Thus, we can understand that the LCM of 780,680,924,718,365 is 53515742280.

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

• LCM of 217, 316, 372, 661, 942
• LCM of 182, 859, 467, 861, 331
• LCM of 763, 588, 751, 403, 114
• LCM of 886, 142, 193, 547, 926
• LCM of 576, 499, 262, 422, 326

1. What is the LCM of 780, 680, 924, 718, 365?

Answer: LCM of 780, 680, 924, 718, 365 is 53515742280.

2. How to calculate the LCM of 780, 680, 924, 718, 365?

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, 680, 924, 718, 365.

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}.