Given numbers are 460,986,138,592,332

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

The LCM of 460,986,138,592,332 is 8357296560.

Find LCM of 460,986,138,592,332 with Prime Factorization

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

2 x 2 x 23 x 5 x 493 x 3 x 148 x 83 = 8357296560

Therefore, the lowest common multiple of 460,986,138,592,332 is 8357296560.

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 986 x 138 x 592 x 332 = 12301940536320

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

986 : 1, 2, 17, 29, 34, 58, 493, 986

138 : 1, 2, 3, 6, 23, 46, 69, 138

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

332 : 1, 2, 4, 83, 166, 332

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,986,138,592,332, is 2.

Now, the common factors can be found like this.

460:2x 2x 5x 23

986:2x 17x 29

138:2x 3x 23

592:2x 2x 2x 2x 37

332:2x 2x 83

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 2x 2x 23 = 736

Therefore, the value for common factors is 736.

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 = 12301940536320/(2x736)

LCM = 12301940536320/1472

LCM = 8357296560

Thus, we can understand that the LCM of 460,986,138,592,332 is 8357296560.

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

• LCM of 991, 821, 195, 779, 660
• LCM of 632, 754, 343, 106, 614
• LCM of 380, 824, 629, 219, 859
• LCM of 160, 874, 759, 991, 593
• LCM of 214, 448, 587, 132, 866

1. What is the LCM of 460, 986, 138, 592, 332?

Answer: LCM of 460, 986, 138, 592, 332 is 8357296560.

2. How to calculate the LCM of 460, 986, 138, 592, 332?

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, 986, 138, 592, 332.

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}.