Given numbers are 171,296,756,679,658

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

The LCM of 171,296,756,679,658 is 4845925224.

Find LCM of 171,296,756,679,658 with Prime Factorization

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

2 x 2 x 3 x 3 x 7 x 19 x 74 x 3 x 97 x 47 = 4845925224

Therefore, the lowest common multiple of 171,296,756,679,658 is 4845925224.

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.

171 x 296 x 756 x 679 x 658 = 17096424190272

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.

171 : 1, 3, 9, 19, 57, 171

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

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

679 : 1, 7, 97, 679

658 : 1, 2, 7, 14, 47, 94, 329, 658

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 171,296,756,679,658, is 1.

Now, the common factors can be found like this.

171:3x 3x 19

296:2x 2x 2x 37

756:2x 2x 3x 3x 3x 7

679:7x 97

658:2x 7x 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 3x 3x 7x 7 = 3528

Therefore, the value for common factors is 3528.

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 = 17096424190272/(1x3528)

LCM = 17096424190272/3528

LCM = 4845925224

Thus, we can understand that the LCM of 171,296,756,679,658 is 4845925224.

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

• LCM of 665, 355, 564, 109, 436
• LCM of 661, 675, 826, 925, 850
• LCM of 380, 713, 384, 948, 890
• LCM of 938, 500, 577, 488, 749
• LCM of 353, 471, 351, 506, 872

1. What is the LCM of 171, 296, 756, 679, 658?

Answer: LCM of 171, 296, 756, 679, 658 is 4845925224.

2. How to calculate the LCM of 171, 296, 756, 679, 658?

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 171, 296, 756, 679, 658.

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}.