Given numbers are 860,874,528,828

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

The LCM of 860,874,528,828 is 148824720.

Find LCM of 860,874,528,828 with Prime Factorization

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

2 x 2 x 3 x 23 x 215 x 19 x 44 x 3 = 148824720

Therefore, the lowest common multiple of 860,874,528,828 is 148824720.

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.

860 x 874 x 528 x 828 = 328604981760

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.

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

874 : 1, 2, 19, 23, 38, 46, 437, 874

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,874,528,828, is 2.

Now, the common factors can be found like this.

860:2x 2x 5x 43

874:2x 19x 23

528:2x 2x 2x 2x 3x 11

828:2x 2x 3x 3x 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 2x 2x 3x 23 = 1104

Therefore, the value for common factors is 1104.

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 = 328604981760/(2x1104)

LCM = 328604981760/2208

LCM = 148824720

Thus, we can understand that the LCM of 860,874,528,828 is 148824720.

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

• LCM of 659, 428, 654, 452
• LCM of 367, 581, 688, 932
• LCM of 269, 176, 410, 972
• LCM of 787, 373, 261, 344
• LCM of 725, 220, 672, 245

1. What is the LCM of 860, 874, 528, 828?

Answer: LCM of 860, 874, 528, 828 is 148824720.

2. How to calculate the LCM of 860, 874, 528, 828?

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 860, 874, 528, 828.

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}.