Given numbers are 460,321,428,345,135

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

The LCM of 460,321,428,345,135 is 1328940.

Find LCM of 460,321,428,345,135 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 107 x 1 x 1 x 1 x 1 x 9 = 1328940

Therefore, the lowest common multiple of 460,321,428,345,135 is 1328940.

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 321 x 428 x 345 x 135 = 2943469206000

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

321 : 1, 3, 107, 321

428 : 1, 2, 4, 107, 214, 428

345 : 1, 3, 5, 15, 23, 69, 115, 345

135 : 1, 3, 5, 9, 15, 27, 45, 135

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,321,428,345,135, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

321:3x 107

428:2x 2x 107

345:3x 5x 23

135:3x 3x 3x 5

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 3x 3x 5x 5x 23x 107 = 2214900

Therefore, the value for common factors is 2214900.

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 = 2943469206000/(1x2214900)

LCM = 2943469206000/2214900

LCM = 1328940

Thus, we can understand that the LCM of 460,321,428,345,135 is 1328940.

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

• LCM of 906, 162, 880, 916, 528
• LCM of 176, 208, 830, 324, 760
• LCM of 437, 942, 388, 180, 345
• LCM of 519, 733, 369, 959, 711
• LCM of 501, 465, 895, 540, 623

1. What is the LCM of 460, 321, 428, 345, 135?

Answer: LCM of 460, 321, 428, 345, 135 is 1328940.

2. How to calculate the LCM of 460, 321, 428, 345, 135?

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, 321, 428, 345, 135.

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}.