Given numbers are 345,587,789

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

The LCM of 345,587,789 is 53261445.

Find LCM of 345,587,789 with Prime Factorization

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

3 x 115 x 587 x 263 = 53261445

Therefore, the lowest common multiple of 345,587,789 is 53261445.

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.

345 x 587 x 789 = 159784335

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.

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

587 : 1, 587

789 : 1, 3, 263, 789

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,587,789, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

587:587

789:3x 263

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

3 = 3

Therefore, the value for common factors is 3.

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 = 159784335/(1x3)

LCM = 159784335/3

LCM = 53261445

Thus, we can understand that the LCM of 345,587,789 is 53261445.

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

• LCM of 748, 773, 870
• LCM of 135, 475, 915
• LCM of 172, 642, 674
• LCM of 673, 820, 940
• LCM of 540, 686, 674

1. What is the LCM of 345, 587, 789?

Answer: LCM of 345, 587, 789 is 53261445.

2. How to calculate the LCM of 345, 587, 789?

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 345, 587, 789.

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}.