Given numbers are 468,289,418

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

The LCM of 468,289,418 is 28267668.

Find LCM of 468,289,418 with Prime Factorization

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

2 x 234 x 289 x 209 = 28267668

Therefore, the lowest common multiple of 468,289,418 is 28267668.

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.

468 x 289 x 418 = 56535336

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

289 : 1, 17, 289

418 : 1, 2, 11, 19, 22, 38, 209, 418

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,289,418, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

289:17x 17

418:2x 11x 19

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

2 = 2

Therefore, the value for common factors is 2.

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 = 56535336/(1x2)

LCM = 56535336/2

LCM = 28267668

Thus, we can understand that the LCM of 468,289,418 is 28267668.

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

• LCM of 651, 571, 978
• LCM of 260, 642, 775
• LCM of 384, 625, 791
• LCM of 653, 112, 844
• LCM of 262, 908, 957

1. What is the LCM of 468, 289, 418?

Answer: LCM of 468, 289, 418 is 28267668.

2. How to calculate the LCM of 468, 289, 418?

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 468, 289, 418.

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}.