Given numbers are 460,295,652,949

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

The LCM of 460,295,652,949 is 4198205180.

Find LCM of 460,295,652,949 with Prime Factorization

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

2 x 2 x 5 x 23 x 59 x 163 x 949 = 4198205180

Therefore, the lowest common multiple of 460,295,652,949 is 4198205180.

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 295 x 652 x 949 = 83964103600

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

295 : 1, 5, 59, 295

652 : 1, 2, 4, 163, 326, 652

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,295,652,949, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

295:5x 59

652:2x 2x 163

949:13x 73

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 5 = 20

Therefore, the value for common factors is 20.

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 = 83964103600/(1x20)

LCM = 83964103600/20

LCM = 4198205180

Thus, we can understand that the LCM of 460,295,652,949 is 4198205180.

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

• LCM of 580, 171, 385, 673
• LCM of 754, 299, 405, 352
• LCM of 998, 857, 421, 287
• LCM of 458, 515, 148, 111
• LCM of 785, 535, 747, 997

1. What is the LCM of 460, 295, 652, 949?

Answer: LCM of 460, 295, 652, 949 is 4198205180.

2. How to calculate the LCM of 460, 295, 652, 949?

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, 295, 652, 949.

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}.