Given numbers are 828,402,611,956,973

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

The LCM of 828,402,611,956,973 is 7882374974292.

Find LCM of 828,402,611,956,973 with Prime Factorization

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

2 x 2 x 3 x 69 x 67 x 611 x 239 x 973 = 7882374974292

Therefore, the lowest common multiple of 828,402,611,956,973 is 7882374974292.

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 402 x 611 x 956 x 973 = 189176999383008

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

402 : 1, 2, 3, 6, 67, 134, 201, 402

611 : 1, 13, 47, 611

956 : 1, 2, 4, 239, 478, 956

973 : 1, 7, 139, 973

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,402,611,956,973, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

402:2x 3x 67

611:13x 47

956:2x 2x 239

973:7x 139

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 = 189176999383008/(1x24)

LCM = 189176999383008/24

LCM = 7882374974292

Thus, we can understand that the LCM of 828,402,611,956,973 is 7882374974292.

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

• LCM of 135, 525, 463, 439, 619
• LCM of 265, 208, 466, 224, 255
• LCM of 331, 139, 728, 296, 835
• LCM of 751, 177, 287, 438, 468
• LCM of 337, 369, 667, 411, 326

1. What is the LCM of 828, 402, 611, 956, 973?

Answer: LCM of 828, 402, 611, 956, 973 is 7882374974292.

2. How to calculate the LCM of 828, 402, 611, 956, 973?

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, 402, 611, 956, 973.

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}.