Given numbers are 229,412,514,782

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

The LCM of 229,412,514,782 is 9480747476.

Find LCM of 229,412,514,782 with Prime Factorization

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

2 x 229 x 206 x 257 x 391 = 9480747476

Therefore, the lowest common multiple of 229,412,514,782 is 9480747476.

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.

229 x 412 x 514 x 782 = 37922989904

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.

229 : 1, 229

412 : 1, 2, 4, 103, 206, 412

514 : 1, 2, 257, 514

782 : 1, 2, 17, 23, 34, 46, 391, 782

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,412,514,782, is 1.

Now, the common factors can be found like this.

229:229

412:2x 2x 103

514:2x 257

782:2x 17x 23

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 37922989904/(1x4)

LCM = 37922989904/4

LCM = 9480747476

Thus, we can understand that the LCM of 229,412,514,782 is 9480747476.

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

• LCM of 876, 846, 665, 376
• LCM of 272, 253, 128, 933
• LCM of 435, 614, 926, 175
• LCM of 873, 613, 729, 265
• LCM of 513, 361, 438, 754

1. What is the LCM of 229, 412, 514, 782?

Answer: LCM of 229, 412, 514, 782 is 9480747476.

2. How to calculate the LCM of 229, 412, 514, 782?

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 229, 412, 514, 782.

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}.