Given numbers are 528,642,282,174,791

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

The LCM of 528,642,282,174,791 is 60910201968.

Find LCM of 528,642,282,174,791 with Prime Factorization

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

2 x 3 x 88 x 107 x 47 x 29 x 791 = 60910201968

Therefore, the lowest common multiple of 528,642,282,174,791 is 60910201968.

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 642 x 282 x 174 x 791 = 13156603625088

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

642 : 1, 2, 3, 6, 107, 214, 321, 642

282 : 1, 2, 3, 6, 47, 94, 141, 282

174 : 1, 2, 3, 6, 29, 58, 87, 174

791 : 1, 7, 113, 791

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,642,282,174,791, is 1.

Now, the common factors can be found like this.

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

642:2x 3x 107

282:2x 3x 47

174:2x 3x 29

791:7x 113

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 13156603625088/(1x216)

LCM = 13156603625088/216

LCM = 60910201968

Thus, we can understand that the LCM of 528,642,282,174,791 is 60910201968.

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

• LCM of 461, 865, 510, 616, 808
• LCM of 437, 521, 257, 263, 585
• LCM of 522, 432, 575, 144, 946
• LCM of 853, 252, 992, 848, 749
• LCM of 379, 849, 201, 668, 221

1. What is the LCM of 528, 642, 282, 174, 791?

Answer: LCM of 528, 642, 282, 174, 791 is 60910201968.

2. How to calculate the LCM of 528, 642, 282, 174, 791?

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, 642, 282, 174, 791.

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}.