Given numbers are 460,952,706,381,324

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

The LCM of 460,952,706,381,324 is 397555928280.

Find LCM of 460,952,706,381,324 with Prime Factorization

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

2 x 2 x 3 x 115 x 238 x 353 x 127 x 27 = 397555928280

Therefore, the lowest common multiple of 460,952,706,381,324 is 397555928280.

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.

460 x 952 x 706 x 381 x 324 = 38165369114880

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.

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

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

706 : 1, 2, 353, 706

381 : 1, 3, 127, 381

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,952,706,381,324, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

952:2x 2x 2x 7x 17

706:2x 353

381:3x 127

324:2x 2x 3x 3x 3x 3

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 2x 3 = 96

Therefore, the value for common factors is 96.

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 = 38165369114880/(1x96)

LCM = 38165369114880/96

LCM = 397555928280

Thus, we can understand that the LCM of 460,952,706,381,324 is 397555928280.

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

• LCM of 897, 111, 993, 852, 307
• LCM of 914, 761, 513, 525, 576
• LCM of 393, 114, 825, 975, 970
• LCM of 522, 127, 108, 314, 852
• LCM of 850, 879, 812, 446, 867

1. What is the LCM of 460, 952, 706, 381, 324?

Answer: LCM of 460, 952, 706, 381, 324 is 397555928280.

2. How to calculate the LCM of 460, 952, 706, 381, 324?

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 460, 952, 706, 381, 324.

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}.