Given numbers are 466,532,817,828

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

The LCM of 466,532,817,828 is 1103332356.

Find LCM of 466,532,817,828 with Prime Factorization

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

2 x 2 x 19 x 233 x 7 x 43 x 207 = 1103332356

Therefore, the lowest common multiple of 466,532,817,828 is 1103332356.

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.

466 x 532 x 817 x 828 = 167706518112

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.

466 : 1, 2, 233, 466

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

817 : 1, 19, 43, 817

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,532,817,828, is 1.

Now, the common factors can be found like this.

466:2x 233

532:2x 2x 7x 19

817:19x 43

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 19 = 152

Therefore, the value for common factors is 152.

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 = 167706518112/(1x152)

LCM = 167706518112/152

LCM = 1103332356

Thus, we can understand that the LCM of 466,532,817,828 is 1103332356.

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

• LCM of 491, 625, 997, 680
• LCM of 730, 742, 705, 814
• LCM of 211, 516, 599, 166
• LCM of 699, 982, 984, 777
• LCM of 629, 716, 211, 883

1. What is the LCM of 466, 532, 817, 828?

Answer: LCM of 466, 532, 817, 828 is 1103332356.

2. How to calculate the LCM of 466, 532, 817, 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 466, 532, 817, 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}.