Given numbers are 414,282,514,675,597

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

The LCM of 414,282,514,675,597 is 74635537050.

Find LCM of 414,282,514,675,597 with Prime Factorization

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

2 x 3 x 3 x 23 x 47 x 257 x 75 x 199 = 74635537050

Therefore, the lowest common multiple of 414,282,514,675,597 is 74635537050.

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.

414 x 282 x 514 x 675 x 597 = 24181914004200

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

282 : 1, 2, 3, 6, 47, 94, 141, 282

514 : 1, 2, 257, 514

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

597 : 1, 3, 199, 597

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,282,514,675,597, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

282:2x 3x 47

514:2x 257

675:3x 3x 3x 5x 5

597:3x 199

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 3x 3x 3 = 324

Therefore, the value for common factors is 324.

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 = 24181914004200/(1x324)

LCM = 24181914004200/324

LCM = 74635537050

Thus, we can understand that the LCM of 414,282,514,675,597 is 74635537050.

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

• LCM of 744, 679, 293, 306, 441
• LCM of 529, 517, 621, 382, 345
• LCM of 273, 239, 335, 577, 127
• LCM of 715, 880, 271, 545, 172
• LCM of 265, 768, 286, 422, 766

1. What is the LCM of 414, 282, 514, 675, 597?

Answer: LCM of 414, 282, 514, 675, 597 is 74635537050.

2. How to calculate the LCM of 414, 282, 514, 675, 597?

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 414, 282, 514, 675, 597.

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}.