Given numbers are 516,232,468,489,149

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

The LCM of 516,232,468,489,149 is 28347592104.

Find LCM of 516,232,468,489,149 with Prime Factorization

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

2 x 2 x 3 x 43 x 58 x 39 x 163 x 149 = 28347592104

Therefore, the lowest common multiple of 516,232,468,489,149 is 28347592104.

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.

516 x 232 x 468 x 489 x 149 = 4082053262976

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.

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

232 : 1, 2, 4, 8, 29, 58, 116, 232

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

489 : 1, 3, 163, 489

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,232,468,489,149, is 1.

Now, the common factors can be found like this.

516:2x 2x 3x 43

232:2x 2x 2x 29

468:2x 2x 3x 3x 13

489:3x 163

149:149

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 3 = 144

Therefore, the value for common factors is 144.

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 = 4082053262976/(1x144)

LCM = 4082053262976/144

LCM = 28347592104

Thus, we can understand that the LCM of 516,232,468,489,149 is 28347592104.

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

• LCM of 678, 797, 150, 472, 817
• LCM of 985, 850, 169, 973, 321
• LCM of 209, 990, 377, 845, 221
• LCM of 667, 947, 517, 293, 511
• LCM of 566, 894, 180, 543, 644

1. What is the LCM of 516, 232, 468, 489, 149?

Answer: LCM of 516, 232, 468, 489, 149 is 28347592104.

2. How to calculate the LCM of 516, 232, 468, 489, 149?

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 516, 232, 468, 489, 149.

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}.