Given numbers are 628,648,506,973,608

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

The LCM of 628,648,506,973,608 is 1903362953184.

Find LCM of 628,648,506,973,608 with Prime Factorization

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

2 x 2 x 2 x 157 x 81 x 253 x 973 x 76 = 1903362953184

Therefore, the lowest common multiple of 628,648,506,973,608 is 1903362953184.

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.

628 x 648 x 506 x 973 x 608 = 121815229003776

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.

628 : 1, 2, 4, 157, 314, 628

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

973 : 1, 7, 139, 973

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,648,506,973,608, is 1.

Now, the common factors can be found like this.

628:2x 2x 157

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

506:2x 11x 23

973:7x 139

608:2x 2x 2x 2x 2x 19

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 2 = 64

Therefore, the value for common factors is 64.

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 = 121815229003776/(1x64)

LCM = 121815229003776/64

LCM = 1903362953184

Thus, we can understand that the LCM of 628,648,506,973,608 is 1903362953184.

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

• LCM of 176, 768, 871, 920, 583
• LCM of 368, 187, 237, 490, 585
• LCM of 325, 227, 889, 843, 367
• LCM of 566, 223, 541, 500, 690
• LCM of 470, 987, 506, 219, 665

1. What is the LCM of 628, 648, 506, 973, 608?

Answer: LCM of 628, 648, 506, 973, 608 is 1903362953184.

2. How to calculate the LCM of 628, 648, 506, 973, 608?

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 628, 648, 506, 973, 608.

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}.