Given numbers are 828,551,484,545,268

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

The LCM of 828,551,484,545,268 is 2015759015820.

Find LCM of 828,551,484,545,268 with Prime Factorization

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

2 x 2 x 207 x 551 x 121 x 545 x 67 = 2015759015820

Therefore, the lowest common multiple of 828,551,484,545,268 is 2015759015820.

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 551 x 484 x 545 x 268 = 32252144253120

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

551 : 1, 19, 29, 551

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

545 : 1, 5, 109, 545

268 : 1, 2, 4, 67, 134, 268

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,551,484,545,268, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

551:19x 29

484:2x 2x 11x 11

545:5x 109

268:2x 2x 67

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 2 = 16

Therefore, the value for common factors is 16.

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 = 32252144253120/(1x16)

LCM = 32252144253120/16

LCM = 2015759015820

Thus, we can understand that the LCM of 828,551,484,545,268 is 2015759015820.

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

• LCM of 912, 770, 970, 144, 705
• LCM of 383, 597, 788, 859, 674
• LCM of 659, 258, 779, 338, 247
• LCM of 373, 432, 416, 222, 893
• LCM of 471, 126, 134, 399, 341

1. What is the LCM of 828, 551, 484, 545, 268?

Answer: LCM of 828, 551, 484, 545, 268 is 2015759015820.

2. How to calculate the LCM of 828, 551, 484, 545, 268?

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, 551, 484, 545, 268.

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}.