Given numbers are 149,546,902,408,314

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

The LCM of 149,546,902,408,314 is 391709422104.

Find LCM of 149,546,902,408,314 with Prime Factorization

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

2 x 3 x 149 x 91 x 451 x 68 x 157 = 391709422104

Therefore, the lowest common multiple of 149,546,902,408,314 is 391709422104.

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.

149 x 546 x 902 x 408 x 314 = 9401026130496

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.

149 : 1, 149

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

902 : 1, 2, 11, 22, 41, 82, 451, 902

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

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,546,902,408,314, is 1.

Now, the common factors can be found like this.

149:149

546:2x 3x 7x 13

902:2x 11x 41

408:2x 2x 2x 3x 17

314:2x 157

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 3 = 24

Therefore, the value for common factors is 24.

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 = 9401026130496/(1x24)

LCM = 9401026130496/24

LCM = 391709422104

Thus, we can understand that the LCM of 149,546,902,408,314 is 391709422104.

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

• LCM of 333, 532, 545, 331, 517
• LCM of 751, 575, 311, 154, 560
• LCM of 126, 490, 406, 827, 168
• LCM of 668, 899, 360, 567, 124
• LCM of 851, 770, 211, 949, 589

1. What is the LCM of 149, 546, 902, 408, 314?

Answer: LCM of 149, 546, 902, 408, 314 is 391709422104.

2. How to calculate the LCM of 149, 546, 902, 408, 314?

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 149, 546, 902, 408, 314.

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}.