Given numbers are 418,602,914,230,148

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

The LCM of 418,602,914,230,148 is 489315009260.

Find LCM of 418,602,914,230,148 with Prime Factorization

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

2 x 209 x 301 x 457 x 115 x 74 = 489315009260

Therefore, the lowest common multiple of 418,602,914,230,148 is 489315009260.

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.

418 x 602 x 914 x 230 x 148 = 7829040148160

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

602 : 1, 2, 7, 14, 43, 86, 301, 602

914 : 1, 2, 457, 914

230 : 1, 2, 5, 10, 23, 46, 115, 230

148 : 1, 2, 4, 37, 74, 148

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,602,914,230,148, is 2.

Now, the common factors can be found like this.

418:2x 11x 19

602:2x 7x 43

914:2x 457

230:2x 5x 23

148:2x 2x 37

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 2 = 8

Therefore, the value for common factors is 8.

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 = 7829040148160/(2x8)

LCM = 7829040148160/16

LCM = 489315009260

Thus, we can understand that the LCM of 418,602,914,230,148 is 489315009260.

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

• LCM of 215, 417, 723, 570, 699
• LCM of 944, 874, 675, 769, 221
• LCM of 300, 690, 419, 930, 911
• LCM of 767, 147, 930, 744, 129
• LCM of 285, 111, 273, 236, 228

1. What is the LCM of 418, 602, 914, 230, 148?

Answer: LCM of 418, 602, 914, 230, 148 is 489315009260.

2. How to calculate the LCM of 418, 602, 914, 230, 148?

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 418, 602, 914, 230, 148.

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}.