Given numbers are 368,952,540,460

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

The LCM of 368,952,540,460 is 5911920.

Find LCM of 368,952,540,460 with Prime Factorization

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

2 x 2 x 2 x 5 x 23 x 2 x 119 x 27 x 1 = 5911920

Therefore, the lowest common multiple of 368,952,540,460 is 5911920.

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.

368 x 952 x 540 x 460 = 87023462400

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.

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,952,540,460, is 4.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

952:2x 2x 2x 7x 17

540:2x 2x 3x 3x 3x 5

460:2x 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 2x 5x 23 = 3680

Therefore, the value for common factors is 3680.

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 = 87023462400/(4x3680)

LCM = 87023462400/14720

LCM = 5911920

Thus, we can understand that the LCM of 368,952,540,460 is 5911920.

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

• LCM of 545, 133, 732, 397
• LCM of 171, 638, 313, 175
• LCM of 845, 219, 636, 136
• LCM of 678, 232, 423, 545
• LCM of 324, 795, 881, 699

1. What is the LCM of 368, 952, 540, 460?

Answer: LCM of 368, 952, 540, 460 is 5911920.

2. How to calculate the LCM of 368, 952, 540, 460?

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 368, 952, 540, 460.

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}.