Given numbers are 768,686,128,848,711

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

The LCM of 768,686,128,848,711 is 3308868864.

Find LCM of 768,686,128,848,711 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 2 x 343 x 1 x 53 x 237 = 3308868864

Therefore, the lowest common multiple of 768,686,128,848,711 is 3308868864.

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.

768 x 686 x 128 x 848 x 711 = 40659380600832

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.

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

686 : 1, 2, 7, 14, 49, 98, 343, 686

128 : 1, 2, 4, 8, 16, 32, 64, 128

848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

711 : 1, 3, 9, 79, 237, 711

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,686,128,848,711, is 1.

Now, the common factors can be found like this.

768:2x 2x 2x 2x 2x 2x 2x 2x 3

686:2x 7x 7x 7

128:2x 2x 2x 2x 2x 2x 2

848:2x 2x 2x 2x 53

711:3x 3x 79

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 2x 2x 2x 2x 2x 2x 3 = 12288

Therefore, the value for common factors is 12288.

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 = 40659380600832/(1x12288)

LCM = 40659380600832/12288

LCM = 3308868864

Thus, we can understand that the LCM of 768,686,128,848,711 is 3308868864.

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

• LCM of 809, 269, 762, 272, 866
• LCM of 240, 586, 980, 730, 213
• LCM of 502, 870, 375, 330, 598
• LCM of 951, 268, 429, 625, 998
• LCM of 547, 875, 629, 224, 178

1. What is the LCM of 768, 686, 128, 848, 711?

Answer: LCM of 768, 686, 128, 848, 711 is 3308868864.

2. How to calculate the LCM of 768, 686, 128, 848, 711?

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 768, 686, 128, 848, 711.

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}.