Given numbers are 987,603,235,408,648

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

The LCM of 987,603,235,408,648 is 1214128440.

Find LCM of 987,603,235,408,648 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 47 x 7 x 67 x 5 x 17 x 9 = 1214128440

Therefore, the lowest common multiple of 987,603,235,408,648 is 1214128440.

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.

987 x 603 x 235 x 408 x 648 = 36977495768640

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.

987 : 1, 3, 7, 21, 47, 141, 329, 987

603 : 1, 3, 9, 67, 201, 603

235 : 1, 5, 47, 235

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,603,235,408,648, is 1.

Now, the common factors can be found like this.

987:3x 7x 47

603:3x 3x 67

235:5x 47

408:2x 2x 2x 3x 17

648:2x 2x 2x 3x 3x 3x 3

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 3x 3x 3x 3x 47 = 30456

Therefore, the value for common factors is 30456.

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 = 36977495768640/(1x30456)

LCM = 36977495768640/30456

LCM = 1214128440

Thus, we can understand that the LCM of 987,603,235,408,648 is 1214128440.

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

• LCM of 463, 627, 459, 747, 961
• LCM of 844, 856, 332, 397, 389
• LCM of 957, 808, 892, 855, 952
• LCM of 196, 600, 863, 869, 109
• LCM of 286, 247, 189, 615, 341

1. What is the LCM of 987, 603, 235, 408, 648?

Answer: LCM of 987, 603, 235, 408, 648 is 1214128440.

2. How to calculate the LCM of 987, 603, 235, 408, 648?

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 987, 603, 235, 408, 648.

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}.