Given numbers are 332,810,708,728,677

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

The LCM of 332,810,708,728,677 is 977473911960.

Find LCM of 332,810,708,728,677 with Prime Factorization

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

2 x 2 x 3 x 83 x 135 x 59 x 182 x 677 = 977473911960

Therefore, the lowest common multiple of 332,810,708,728,677 is 977473911960.

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.

332 x 810 x 708 x 728 x 677 = 93837495548160

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.

332 : 1, 2, 4, 83, 166, 332

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 332,810,708,728,677, is 1.

Now, the common factors can be found like this.

332:2x 2x 83

810:2x 3x 3x 3x 3x 5

708:2x 2x 3x 59

728:2x 2x 2x 7x 13

677:677

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 3 = 96

Therefore, the value for common factors is 96.

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 = 93837495548160/(1x96)

LCM = 93837495548160/96

LCM = 977473911960

Thus, we can understand that the LCM of 332,810,708,728,677 is 977473911960.

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

• LCM of 119, 418, 941, 243, 324
• LCM of 155, 798, 893, 856, 556
• LCM of 698, 169, 309, 865, 410
• LCM of 234, 949, 461, 170, 702
• LCM of 869, 459, 258, 662, 546

1. What is the LCM of 332, 810, 708, 728, 677?

Answer: LCM of 332, 810, 708, 728, 677 is 977473911960.

2. How to calculate the LCM of 332, 810, 708, 728, 677?

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 332, 810, 708, 728, 677.

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}.