Given numbers are 828,974,106,610

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

The LCM of 828,974,106,610 is 6518309940.

Find LCM of 828,974,106,610 with Prime Factorization

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

2 x 414 x 487 x 53 x 305 = 6518309940

Therefore, the lowest common multiple of 828,974,106,610 is 6518309940.

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.

828 x 974 x 106 x 610 = 52146479520

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.

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

974 : 1, 2, 487, 974

106 : 1, 2, 53, 106

610 : 1, 2, 5, 10, 61, 122, 305, 610

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,974,106,610, is 2.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

974:2x 487

106:2x 53

610:2x 5x 61

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 52146479520/(2x4)

LCM = 52146479520/8

LCM = 6518309940

Thus, we can understand that the LCM of 828,974,106,610 is 6518309940.

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

• LCM of 858, 443, 149, 114
• LCM of 898, 947, 710, 911
• LCM of 771, 920, 980, 590
• LCM of 574, 261, 322, 336
• LCM of 987, 638, 806, 176

1. What is the LCM of 828, 974, 106, 610?

Answer: LCM of 828, 974, 106, 610 is 6518309940.

2. How to calculate the LCM of 828, 974, 106, 610?

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 828, 974, 106, 610.

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}.