Given numbers are 460,389,944,367

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

The LCM of 460,389,944,367 is 15498351280.

Find LCM of 460,389,944,367 with Prime Factorization

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

2 x 2 x 115 x 389 x 236 x 367 = 15498351280

Therefore, the lowest common multiple of 460,389,944,367 is 15498351280.

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 389 x 944 x 367 = 61993405120

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

389 : 1, 389

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

367 : 1, 367

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,389,944,367, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

389:389

944:2x 2x 2x 2x 59

367:367

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 61993405120/(1x4)

LCM = 61993405120/4

LCM = 15498351280

Thus, we can understand that the LCM of 460,389,944,367 is 15498351280.

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

• LCM of 968, 966, 724, 412
• LCM of 741, 228, 458, 717
• LCM of 240, 387, 830, 927
• LCM of 872, 444, 707, 736
• LCM of 220, 892, 558, 783

1. What is the LCM of 460, 389, 944, 367?

Answer: LCM of 460, 389, 944, 367 is 15498351280.

2. How to calculate the LCM of 460, 389, 944, 367?

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, 389, 944, 367.

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}.