Given numbers are 768,193,385,950

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

The LCM of 768,193,385,950 is 5421292800.

Find LCM of 768,193,385,950 with Prime Factorization

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

2 x 5 x 384 x 193 x 77 x 95 = 5421292800

Therefore, the lowest common multiple of 768,193,385,950 is 5421292800.

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 193 x 385 x 950 = 54212928000

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

193 : 1, 193

385 : 1, 5, 7, 11, 35, 55, 77, 385

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,193,385,950, is 1.

Now, the common factors can be found like this.

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

193:193

385:5x 7x 11

950:2x 5x 5x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 54212928000/(1x10)

LCM = 54212928000/10

LCM = 5421292800

Thus, we can understand that the LCM of 768,193,385,950 is 5421292800.

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

• LCM of 375, 385, 310, 672
• LCM of 989, 165, 907, 975
• LCM of 518, 671, 222, 274
• LCM of 920, 596, 177, 384
• LCM of 751, 981, 315, 166

1. What is the LCM of 768, 193, 385, 950?

Answer: LCM of 768, 193, 385, 950 is 5421292800.

2. How to calculate the LCM of 768, 193, 385, 950?

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, 193, 385, 950.

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}.