Given numbers are 977,536,448,566,919

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

The LCM of 977,536,448,566,919 is 7626922393664.

Find LCM of 977,536,448,566,919 with Prime Factorization

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

2 x 2 x 2 x 977 x 67 x 56 x 283 x 919 = 7626922393664

Therefore, the lowest common multiple of 977,536,448,566,919 is 7626922393664.

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 536 x 448 x 566 x 919 = 122030758298624

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

536 : 1, 2, 4, 8, 67, 134, 268, 536

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

566 : 1, 2, 283, 566

919 : 1, 919

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,536,448,566,919, is 1.

Now, the common factors can be found like this.

977:977

536:2x 2x 2x 67

448:2x 2x 2x 2x 2x 2x 7

566:2x 283

919:919

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 2 = 16

Therefore, the value for common factors is 16.

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 = 122030758298624/(1x16)

LCM = 122030758298624/16

LCM = 7626922393664

Thus, we can understand that the LCM of 977,536,448,566,919 is 7626922393664.

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

• LCM of 798, 886, 907, 185, 983
• LCM of 601, 577, 773, 486, 480
• LCM of 288, 705, 936, 158, 740
• LCM of 210, 954, 520, 259, 678
• LCM of 875, 285, 668, 675, 817

1. What is the LCM of 977, 536, 448, 566, 919?

Answer: LCM of 977, 536, 448, 566, 919 is 7626922393664.

2. How to calculate the LCM of 977, 536, 448, 566, 919?

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, 536, 448, 566, 919.

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}.