Given numbers are 960,542,417,390,497

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

The LCM of 960,542,417,390,497 is 233644232640.

Find LCM of 960,542,417,390,497 with Prime Factorization

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

2 x 3 x 5 x 32 x 271 x 139 x 13 x 497 = 233644232640

Therefore, the lowest common multiple of 960,542,417,390,497 is 233644232640.

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 542 x 417 x 390 x 497 = 42055961875200

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

542 : 1, 2, 271, 542

417 : 1, 3, 139, 417

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

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,542,417,390,497, is 1.

Now, the common factors can be found like this.

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

542:2x 271

417:3x 139

390:2x 3x 5x 13

497:7x 71

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 42055961875200/(1x180)

LCM = 42055961875200/180

LCM = 233644232640

Thus, we can understand that the LCM of 960,542,417,390,497 is 233644232640.

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

• LCM of 465, 316, 558, 269, 157
• LCM of 791, 204, 481, 516, 784
• LCM of 593, 610, 443, 796, 904
• LCM of 941, 578, 567, 712, 639
• LCM of 488, 697, 451, 523, 415

1. What is the LCM of 960, 542, 417, 390, 497?

Answer: LCM of 960, 542, 417, 390, 497 is 233644232640.

2. How to calculate the LCM of 960, 542, 417, 390, 497?

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, 542, 417, 390, 497.

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}.