Given numbers are 418,912,514,810

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

The LCM of 418,912,514,810 is 348060240.

Find LCM of 418,912,514,810 with Prime Factorization

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

2 x 3 x 19 x 11 x 8 x 257 x 135 = 348060240

Therefore, the lowest common multiple of 418,912,514,810 is 348060240.

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 912 x 514 x 810 = 158715469440

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

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

514 : 1, 2, 257, 514

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,912,514,810, is 2.

Now, the common factors can be found like this.

418:2x 11x 19

912:2x 2x 2x 2x 3x 19

514:2x 257

810:2x 3x 3x 3x 3x 5

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 3x 19 = 228

Therefore, the value for common factors is 228.

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 = 158715469440/(2x228)

LCM = 158715469440/456

LCM = 348060240

Thus, we can understand that the LCM of 418,912,514,810 is 348060240.

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

• LCM of 517, 956, 640, 503
• LCM of 189, 647, 213, 889
• LCM of 890, 679, 424, 736
• LCM of 600, 511, 690, 628
• LCM of 200, 126, 711, 774

1. What is the LCM of 418, 912, 514, 810?

Answer: LCM of 418, 912, 514, 810 is 348060240.

2. How to calculate the LCM of 418, 912, 514, 810?

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, 912, 514, 810.

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}.