Given numbers are 172,212,626,648,661

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

The LCM of 172,212,626,648,661 is 305537927256.

Find LCM of 172,212,626,648,661 with Prime Factorization

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

2 x 2 x 43 x 53 x 313 x 162 x 661 = 305537927256

Therefore, the lowest common multiple of 172,212,626,648,661 is 305537927256.

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.

172 x 212 x 626 x 648 x 661 = 9777213672192

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.

172 : 1, 2, 4, 43, 86, 172

212 : 1, 2, 4, 53, 106, 212

626 : 1, 2, 313, 626

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

661 : 1, 661

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 172,212,626,648,661, is 1.

Now, the common factors can be found like this.

172:2x 2x 43

212:2x 2x 53

626:2x 313

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

661:661

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 2 = 32

Therefore, the value for common factors is 32.

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 = 9777213672192/(1x32)

LCM = 9777213672192/32

LCM = 305537927256

Thus, we can understand that the LCM of 172,212,626,648,661 is 305537927256.

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

• LCM of 542, 787, 314, 545, 903
• LCM of 541, 469, 841, 346, 581
• LCM of 251, 503, 518, 760, 304
• LCM of 867, 137, 759, 867, 187
• LCM of 228, 448, 456, 554, 501

1. What is the LCM of 172, 212, 626, 648, 661?

Answer: LCM of 172, 212, 626, 648, 661 is 305537927256.

2. How to calculate the LCM of 172, 212, 626, 648, 661?

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 172, 212, 626, 648, 661.

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}.