Given numbers are 828,734,176,669,564

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

The LCM of 828,734,176,669,564 is 140136671664.

Find LCM of 828,734,176,669,564 with Prime Factorization

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

2 x 2 x 3 x 69 x 367 x 44 x 223 x 47 = 140136671664

Therefore, the lowest common multiple of 828,734,176,669,564 is 140136671664.

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 734 x 176 x 669 x 564 = 40359361439232

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

734 : 1, 2, 367, 734

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

669 : 1, 3, 223, 669

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,734,176,669,564, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

734:2x 367

176:2x 2x 2x 2x 11

669:3x 223

564:2x 2x 3x 47

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 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 40359361439232/(1x288)

LCM = 40359361439232/288

LCM = 140136671664

Thus, we can understand that the LCM of 828,734,176,669,564 is 140136671664.

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

• LCM of 895, 442, 506, 429, 495
• LCM of 347, 814, 144, 190, 786
• LCM of 717, 493, 863, 193, 436
• LCM of 812, 770, 970, 499, 539
• LCM of 450, 586, 872, 535, 500

1. What is the LCM of 828, 734, 176, 669, 564?

Answer: LCM of 828, 734, 176, 669, 564 is 140136671664.

2. How to calculate the LCM of 828, 734, 176, 669, 564?

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, 734, 176, 669, 564.

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}.