Given numbers are 977,305,190,772,459

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

The LCM of 977,305,190,772,459 is 2006217386820.

Find LCM of 977,305,190,772,459 with Prime Factorization

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

2 x 5 x 977 x 61 x 19 x 386 x 459 = 2006217386820

Therefore, the lowest common multiple of 977,305,190,772,459 is 2006217386820.

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 305 x 190 x 772 x 459 = 20062173868200

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

305 : 1, 5, 61, 305

190 : 1, 2, 5, 10, 19, 38, 95, 190

772 : 1, 2, 4, 193, 386, 772

459 : 1, 3, 9, 17, 27, 51, 153, 459

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,305,190,772,459, is 1.

Now, the common factors can be found like this.

977:977

305:5x 61

190:2x 5x 19

772:2x 2x 193

459:3x 3x 3x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 20062173868200/(1x10)

LCM = 20062173868200/10

LCM = 2006217386820

Thus, we can understand that the LCM of 977,305,190,772,459 is 2006217386820.

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

• LCM of 158, 941, 773, 920, 181
• LCM of 197, 420, 261, 847, 407
• LCM of 754, 165, 404, 717, 910
• LCM of 699, 519, 776, 709, 694
• LCM of 707, 897, 694, 383, 205

1. What is the LCM of 977, 305, 190, 772, 459?

Answer: LCM of 977, 305, 190, 772, 459 is 2006217386820.

2. How to calculate the LCM of 977, 305, 190, 772, 459?

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, 305, 190, 772, 459.

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}.