Given numbers are 390,217,747

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

The LCM of 390,217,747 is 21072870.

Find LCM of 390,217,747 with Prime Factorization

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

3 x 130 x 217 x 249 = 21072870

Therefore, the lowest common multiple of 390,217,747 is 21072870.

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.

390 x 217 x 747 = 63218610

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.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

217 : 1, 7, 31, 217

747 : 1, 3, 9, 83, 249, 747

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,217,747, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

217:7x 31

747:3x 3x 83

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 = 63218610/(1x3)

LCM = 63218610/3

LCM = 21072870

Thus, we can understand that the LCM of 390,217,747 is 21072870.

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

• LCM of 195, 745, 639
• LCM of 383, 205, 956
• LCM of 247, 496, 141
• LCM of 471, 457, 425
• LCM of 351, 949, 618

1. What is the LCM of 390, 217, 747?

Answer: LCM of 390, 217, 747 is 21072870.

2. How to calculate the LCM of 390, 217, 747?

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 390, 217, 747.

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}.