Given numbers are 390,132,962,396,536

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

The LCM of 390,132,962,396,536 is 127618920.

Find LCM of 390,132,962,396,536 with Prime Factorization

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

2 x 2 x 3 x 11 x 13 x 5 x 1 x 37 x 3 x 134 = 127618920

Therefore, the lowest common multiple of 390,132,962,396,536 is 127618920.

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 132 x 962 x 396 x 536 = 10511715202560

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

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

962 : 1, 2, 13, 26, 37, 74, 481, 962

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

536 : 1, 2, 4, 8, 67, 134, 268, 536

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,132,962,396,536, is 2.

Now, the common factors can be found like this.

390:2x 3x 5x 13

132:2x 2x 3x 11

962:2x 13x 37

396:2x 2x 3x 3x 11

536:2x 2x 2x 67

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 2x 2x 3x 3x 11x 13 = 41184

Therefore, the value for common factors is 41184.

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 = 10511715202560/(2x41184)

LCM = 10511715202560/82368

LCM = 127618920

Thus, we can understand that the LCM of 390,132,962,396,536 is 127618920.

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

• LCM of 358, 500, 702, 402, 874
• LCM of 177, 417, 744, 116, 725
• LCM of 613, 707, 897, 828, 526
• LCM of 791, 577, 975, 910, 806
• LCM of 755, 737, 599, 886, 131

1. What is the LCM of 390, 132, 962, 396, 536?

Answer: LCM of 390, 132, 962, 396, 536 is 127618920.

2. How to calculate the LCM of 390, 132, 962, 396, 536?

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, 132, 962, 396, 536.

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}.