Given numbers are 960,475,935,239,407

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

The LCM of 960,475,935,239,407 is 150812059200.

Find LCM of 960,475,935,239,407 with Prime Factorization

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

5 x 11 x 192 x 95 x 17 x 239 x 37 = 150812059200

Therefore, the lowest common multiple of 960,475,935,239,407 is 150812059200.

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.

960 x 475 x 935 x 239 x 407 = 41473316280000

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.

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

475 : 1, 5, 19, 25, 95, 475

935 : 1, 5, 11, 17, 55, 85, 187, 935

239 : 1, 239

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,475,935,239,407, is 1.

Now, the common factors can be found like this.

960:2x 2x 2x 2x 2x 2x 3x 5

475:5x 5x 19

935:5x 11x 17

239:239

407:11x 37

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

5x 5x 11 = 275

Therefore, the value for common factors is 275.

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 = 41473316280000/(1x275)

LCM = 41473316280000/275

LCM = 150812059200

Thus, we can understand that the LCM of 960,475,935,239,407 is 150812059200.

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

• LCM of 466, 972, 401, 241, 781
• LCM of 130, 752, 953, 349, 734
• LCM of 207, 138, 322, 603, 858
• LCM of 561, 511, 273, 672, 996
• LCM of 117, 499, 235, 851, 600

1. What is the LCM of 960, 475, 935, 239, 407?

Answer: LCM of 960, 475, 935, 239, 407 is 150812059200.

2. How to calculate the LCM of 960, 475, 935, 239, 407?

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 960, 475, 935, 239, 407.

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}.