Given numbers are 828,474,101,700

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

The LCM of 828,474,101,700 is 1156157100.

Find LCM of 828,474,101,700 with Prime Factorization

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

2 x 2 x 3 x 69 x 79 x 101 x 175 = 1156157100

Therefore, the lowest common multiple of 828,474,101,700 is 1156157100.

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 474 x 101 x 700 = 27747770400

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

474 : 1, 2, 3, 6, 79, 158, 237, 474

101 : 1, 101

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,474,101,700, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

474:2x 3x 79

101:101

700:2x 2x 5x 5x 7

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 3 = 24

Therefore, the value for common factors is 24.

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 = 27747770400/(1x24)

LCM = 27747770400/24

LCM = 1156157100

Thus, we can understand that the LCM of 828,474,101,700 is 1156157100.

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

• LCM of 682, 299, 944, 182
• LCM of 710, 349, 439, 106
• LCM of 264, 345, 738, 349
• LCM of 137, 805, 268, 846
• LCM of 205, 112, 228, 265

1. What is the LCM of 828, 474, 101, 700?

Answer: LCM of 828, 474, 101, 700 is 1156157100.

2. How to calculate the LCM of 828, 474, 101, 700?

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, 474, 101, 700.

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}.