Given numbers are 390,69,736,523

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

The LCM of 390,69,736,523 is 75060960.

Find LCM of 390,69,736,523 with Prime Factorization

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

2 x 3 x 23 x 65 x 1 x 16 x 523 = 75060960

Therefore, the lowest common multiple of 390,69,736,523 is 75060960.

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 69 x 736 x 523 = 10358412480

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

69 : 1, 3, 23, 69

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

523 : 1, 523

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,69,736,523, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

69:3x 23

736:2x 2x 2x 2x 2x 23

523:523

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

2x 3x 23 = 138

Therefore, the value for common factors is 138.

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 = 10358412480/(1x138)

LCM = 10358412480/138

LCM = 75060960

Thus, we can understand that the LCM of 390,69,736,523 is 75060960.

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

• LCM of 218, 83, 396, 667
• LCM of 259, 72, 781, 568
• LCM of 408, 83, 209, 796
• LCM of 746, 46, 519, 733
• LCM of 986, 87, 637, 788

1. What is the LCM of 390, 69, 736, 523?

Answer: LCM of 390, 69, 736, 523 is 75060960.

2. How to calculate the LCM of 390, 69, 736, 523?

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, 69, 736, 523.

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}.