Given numbers are 977,380,214,284,880

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

The LCM of 977,380,214,284,880 is 124100337680.

Find LCM of 977,380,214,284,880 with Prime Factorization

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

2 x 2 x 5 x 977 x 19 x 107 x 71 x 44 = 124100337680

Therefore, the lowest common multiple of 977,380,214,284,880 is 124100337680.

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.

977 x 380 x 214 x 284 x 880 = 19856054028800

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.

977 : 1, 977

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

214 : 1, 2, 107, 214

284 : 1, 2, 4, 71, 142, 284

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,380,214,284,880, is 1.

Now, the common factors can be found like this.

977:977

380:2x 2x 5x 19

214:2x 107

284:2x 2x 71

880:2x 2x 2x 2x 5x 11

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 5 = 160

Therefore, the value for common factors is 160.

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 = 19856054028800/(1x160)

LCM = 19856054028800/160

LCM = 124100337680

Thus, we can understand that the LCM of 977,380,214,284,880 is 124100337680.

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

• LCM of 132, 812, 273, 160, 961
• LCM of 491, 937, 162, 943, 128
• LCM of 530, 851, 662, 408, 849
• LCM of 670, 952, 291, 494, 610
• LCM of 732, 717, 232, 696, 809

1. What is the LCM of 977, 380, 214, 284, 880?

Answer: LCM of 977, 380, 214, 284, 880 is 124100337680.

2. How to calculate the LCM of 977, 380, 214, 284, 880?

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 977, 380, 214, 284, 880.

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}.