Given numbers are 407,138,289,289

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

The LCM of 407,138,289,289 is 16231974.

Find LCM of 407,138,289,289 with Prime Factorization

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

17 x 17 x 407 x 138 x 1 x 1 = 16231974

Therefore, the lowest common multiple of 407,138,289,289 is 16231974.

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.

407 x 138 x 289 x 289 = 4691040486

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.

407 : 1, 11, 37, 407

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

289 : 1, 17, 289

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,138,289,289, is 1.

Now, the common factors can be found like this.

407:11x 37

138:2x 3x 23

289:17x 17

289:17x 17

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

17x 17 = 289

Therefore, the value for common factors is 289.

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 = 4691040486/(1x289)

LCM = 4691040486/289

LCM = 16231974

Thus, we can understand that the LCM of 407,138,289,289 is 16231974.

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

• LCM of 697, 820, 292, 727
• LCM of 944, 602, 197, 120
• LCM of 876, 389, 859, 974
• LCM of 744, 207, 313, 598
• LCM of 200, 236, 269, 391

1. What is the LCM of 407, 138, 289, 289?

Answer: LCM of 407, 138, 289, 289 is 16231974.

2. How to calculate the LCM of 407, 138, 289, 289?

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 407, 138, 289, 289.

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}.