Given numbers are 296,952,102,170,817

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

The LCM of 296,952,102,170,817 is 431670120.

Find LCM of 296,952,102,170,817 with Prime Factorization

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

2 x 2 x 2 x 17 x 37 x 7 x 3 x 5 x 817 = 431670120

Therefore, the lowest common multiple of 296,952,102,170,817 is 431670120.

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.

296 x 952 x 102 x 170 x 817 = 3992085269760

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.

296 : 1, 2, 4, 8, 37, 74, 148, 296

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

102 : 1, 2, 3, 6, 17, 34, 51, 102

170 : 1, 2, 5, 10, 17, 34, 85, 170

817 : 1, 19, 43, 817

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,952,102,170,817, is 1.

Now, the common factors can be found like this.

296:2x 2x 2x 37

952:2x 2x 2x 7x 17

102:2x 3x 17

170:2x 5x 17

817:19x 43

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 17x 17 = 9248

Therefore, the value for common factors is 9248.

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 = 3992085269760/(1x9248)

LCM = 3992085269760/9248

LCM = 431670120

Thus, we can understand that the LCM of 296,952,102,170,817 is 431670120.

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

• LCM of 498, 284, 142, 234, 851
• LCM of 922, 827, 788, 678, 650
• LCM of 714, 385, 568, 686, 226
• LCM of 676, 179, 472, 182, 467
• LCM of 397, 267, 184, 914, 408

1. What is the LCM of 296, 952, 102, 170, 817?

Answer: LCM of 296, 952, 102, 170, 817 is 431670120.

2. How to calculate the LCM of 296, 952, 102, 170, 817?

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 296, 952, 102, 170, 817.

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}.