Given numbers are 397,460,414,972,230

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

The LCM of 397,460,414,972,230 is 44376660.

Find LCM of 397,460,414,972,230 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 23 x 397 x 1 x 1 x 27 x 1 = 44376660

Therefore, the lowest common multiple of 397,460,414,972,230 is 44376660.

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.

397 x 460 x 414 x 972 x 230 = 16902182260800

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.

397 : 1, 397

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,460,414,972,230, is 1.

Now, the common factors can be found like this.

397:397

460:2x 2x 5x 23

414:2x 3x 3x 23

972:2x 2x 3x 3x 3x 3x 3

230:2x 5x 23

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 3x 5x 23x 23 = 380880

Therefore, the value for common factors is 380880.

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 = 16902182260800/(1x380880)

LCM = 16902182260800/380880

LCM = 44376660

Thus, we can understand that the LCM of 397,460,414,972,230 is 44376660.

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

• LCM of 215, 561, 750, 792, 179
• LCM of 632, 121, 158, 214, 715
• LCM of 369, 398, 622, 147, 339
• LCM of 191, 776, 899, 838, 789
• LCM of 151, 549, 591, 712, 521

1. What is the LCM of 397, 460, 414, 972, 230?

Answer: LCM of 397, 460, 414, 972, 230 is 44376660.

2. How to calculate the LCM of 397, 460, 414, 972, 230?

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 397, 460, 414, 972, 230.

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}.