Given numbers are 456,660,310,722,266

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

The LCM of 456,660,310,722,266 is 103404840.

Find LCM of 456,660,310,722,266 with Prime Factorization

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

2 x 2 x 3 x 5 x 19 x 2 x 11 x 31 x 19 x 7 = 103404840

Therefore, the lowest common multiple of 456,660,310,722,266 is 103404840.

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.

456 x 660 x 310 x 722 x 266 = 17917990675200

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

310 : 1, 2, 5, 10, 31, 62, 155, 310

722 : 1, 2, 19, 38, 361, 722

266 : 1, 2, 7, 14, 19, 38, 133, 266

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,660,310,722,266, is 2.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

660:2x 2x 3x 5x 11

310:2x 5x 31

722:2x 19x 19

266:2x 7x 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 3x 5x 19x 19 = 86640

Therefore, the value for common factors is 86640.

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 = 17917990675200/(2x86640)

LCM = 17917990675200/173280

LCM = 103404840

Thus, we can understand that the LCM of 456,660,310,722,266 is 103404840.

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

• LCM of 340, 553, 335, 387, 231
• LCM of 860, 942, 389, 711, 543
• LCM of 154, 487, 195, 999, 524
• LCM of 968, 228, 928, 872, 155
• LCM of 851, 939, 104, 978, 101

1. What is the LCM of 456, 660, 310, 722, 266?

Answer: LCM of 456, 660, 310, 722, 266 is 103404840.

2. How to calculate the LCM of 456, 660, 310, 722, 266?

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 456, 660, 310, 722, 266.

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}.