Given numbers are 390,106,728,133,958

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

The LCM of 390,106,728,133,958 is 5267294760.

Find LCM of 390,106,728,133,958 with Prime Factorization

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

2 x 7 x 13 x 15 x 53 x 4 x 19 x 479 = 5267294760

Therefore, the lowest common multiple of 390,106,728,133,958 is 5267294760.

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 106 x 728 x 133 x 958 = 3834590585280

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

106 : 1, 2, 53, 106

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

133 : 1, 7, 19, 133

958 : 1, 2, 479, 958

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,106,728,133,958, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

106:2x 53

728:2x 2x 2x 7x 13

133:7x 19

958:2x 479

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

2x 2x 2x 7x 13 = 728

Therefore, the value for common factors is 728.

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 = 3834590585280/(1x728)

LCM = 3834590585280/728

LCM = 5267294760

Thus, we can understand that the LCM of 390,106,728,133,958 is 5267294760.

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

• LCM of 764, 154, 630, 765, 825
• LCM of 430, 976, 249, 764, 843
• LCM of 725, 978, 945, 966, 714
• LCM of 284, 101, 573, 920, 408
• LCM of 279, 355, 918, 900, 425

1. What is the LCM of 390, 106, 728, 133, 958?

Answer: LCM of 390, 106, 728, 133, 958 is 5267294760.

2. How to calculate the LCM of 390, 106, 728, 133, 958?

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, 106, 728, 133, 958.

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}.