Given numbers are 460,975,283,478

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

The LCM of 460,975,283,478 is 6067038900.

Find LCM of 460,975,283,478 with Prime Factorization

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

2 x 5 x 46 x 195 x 283 x 239 = 6067038900

Therefore, the lowest common multiple of 460,975,283,478 is 6067038900.

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 975 x 283 x 478 = 60670389000

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

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

283 : 1, 283

478 : 1, 2, 239, 478

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,975,283,478, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

975:3x 5x 5x 13

283:283

478:2x 239

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 60670389000/(1x10)

LCM = 60670389000/10

LCM = 6067038900

Thus, we can understand that the LCM of 460,975,283,478 is 6067038900.

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

• LCM of 827, 127, 482, 945
• LCM of 759, 650, 629, 724
• LCM of 953, 604, 230, 513
• LCM of 830, 740, 699, 633
• LCM of 542, 468, 363, 690

1. What is the LCM of 460, 975, 283, 478?

Answer: LCM of 460, 975, 283, 478 is 6067038900.

2. How to calculate the LCM of 460, 975, 283, 478?

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, 975, 283, 478.

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}.