Given numbers are 892,343,217,977

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

The LCM of 892,343,217,977 is 9266489372.

Find LCM of 892,343,217,977 with Prime Factorization

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

7 x 892 x 49 x 31 x 977 = 9266489372

Therefore, the lowest common multiple of 892,343,217,977 is 9266489372.

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.

892 x 343 x 217 x 977 = 64865425604

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.

892 : 1, 2, 4, 223, 446, 892

343 : 1, 7, 49, 343

217 : 1, 7, 31, 217

977 : 1, 977

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,343,217,977, is 1.

Now, the common factors can be found like this.

892:2x 2x 223

343:7x 7x 7

217:7x 31

977:977

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

7 = 7

Therefore, the value for common factors is 7.

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 = 64865425604/(1x7)

LCM = 64865425604/7

LCM = 9266489372

Thus, we can understand that the LCM of 892,343,217,977 is 9266489372.

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

• LCM of 931, 851, 115, 196
• LCM of 133, 457, 388, 199
• LCM of 874, 585, 171, 249
• LCM of 686, 333, 491, 436
• LCM of 774, 381, 647, 214

1. What is the LCM of 892, 343, 217, 977?

Answer: LCM of 892, 343, 217, 977 is 9266489372.

2. How to calculate the LCM of 892, 343, 217, 977?

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 892, 343, 217, 977.

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}.