Given numbers are 460,603,228,283,950

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

The LCM of 460,603,228,283,950 is 7457361300.

Find LCM of 460,603,228,283,950 with Prime Factorization

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

2 x 2 x 3 x 5 x 19 x 23 x 201 x 1 x 283 x 5 = 7457361300

Therefore, the lowest common multiple of 460,603,228,283,950 is 7457361300.

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 603 x 228 x 283 x 950 = 17002783764000

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

603 : 1, 3, 9, 67, 201, 603

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

283 : 1, 283

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,603,228,283,950, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

603:3x 3x 67

228:2x 2x 3x 19

283:283

950:2x 5x 5x 19

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 3x 5x 19 = 2280

Therefore, the value for common factors is 2280.

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 = 17002783764000/(1x2280)

LCM = 17002783764000/2280

LCM = 7457361300

Thus, we can understand that the LCM of 460,603,228,283,950 is 7457361300.

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

• LCM of 913, 566, 223, 253, 883
• LCM of 408, 554, 476, 965, 409
• LCM of 745, 301, 369, 145, 523
• LCM of 276, 309, 499, 629, 931
• LCM of 124, 740, 585, 400, 898

1. What is the LCM of 460, 603, 228, 283, 950?

Answer: LCM of 460, 603, 228, 283, 950 is 7457361300.

2. How to calculate the LCM of 460, 603, 228, 283, 950?

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, 603, 228, 283, 950.

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}.