Given numbers are 780,378,204,248,970

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

The LCM of 780,378,204,248,970 is 5023975320.

Find LCM of 780,378,204,248,970 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 63 x 17 x 62 x 97 = 5023975320

Therefore, the lowest common multiple of 780,378,204,248,970 is 5023975320.

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 378 x 204 x 248 x 970 = 14469048921600

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

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

248 : 1, 2, 4, 8, 31, 62, 124, 248

970 : 1, 2, 5, 10, 97, 194, 485, 970

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,378,204,248,970, is 2.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

378:2x 3x 3x 3x 7

204:2x 2x 3x 17

248:2x 2x 2x 31

970:2x 5x 97

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 3x 5 = 1440

Therefore, the value for common factors is 1440.

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 = 14469048921600/(2x1440)

LCM = 14469048921600/2880

LCM = 5023975320

Thus, we can understand that the LCM of 780,378,204,248,970 is 5023975320.

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

• LCM of 261, 253, 651, 166, 493
• LCM of 189, 300, 970, 551, 349
• LCM of 139, 426, 583, 500, 419
• LCM of 320, 926, 291, 645, 266
• LCM of 615, 627, 189, 904, 552

1. What is the LCM of 780, 378, 204, 248, 970?

Answer: LCM of 780, 378, 204, 248, 970 is 5023975320.

2. How to calculate the LCM of 780, 378, 204, 248, 970?

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, 378, 204, 248, 970.

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}.