Given numbers are 528,561,273,459,829

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

The LCM of 528,561,273,459,829 is 6094264176.

Find LCM of 528,561,273,459,829 with Prime Factorization

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

3 x 11 x 17 x 16 x 1 x 91 x 9 x 829 = 6094264176

Therefore, the lowest common multiple of 528,561,273,459,829 is 6094264176.

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.

528 x 561 x 273 x 459 x 829 = 30769939824624

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.

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

561 : 1, 3, 11, 17, 33, 51, 187, 561

273 : 1, 3, 7, 13, 21, 39, 91, 273

459 : 1, 3, 9, 17, 27, 51, 153, 459

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,561,273,459,829, is 1.

Now, the common factors can be found like this.

528:2x 2x 2x 2x 3x 11

561:3x 11x 17

273:3x 7x 13

459:3x 3x 3x 17

829:829

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3x 11x 17 = 5049

Therefore, the value for common factors is 5049.

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 = 30769939824624/(1x5049)

LCM = 30769939824624/5049

LCM = 6094264176

Thus, we can understand that the LCM of 528,561,273,459,829 is 6094264176.

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

• LCM of 882, 656, 838, 152, 607
• LCM of 148, 779, 683, 571, 365
• LCM of 251, 592, 101, 644, 192
• LCM of 547, 931, 544, 879, 721
• LCM of 316, 961, 616, 428, 494

1. What is the LCM of 528, 561, 273, 459, 829?

Answer: LCM of 528, 561, 273, 459, 829 is 6094264176.

2. How to calculate the LCM of 528, 561, 273, 459, 829?

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 528, 561, 273, 459, 829.

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}.