Given numbers are 270,168,792,991,516

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

The LCM of 270,168,792,991,516 is 3543697080.

Find LCM of 270,168,792,991,516 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 15 x 7 x 11 x 991 x 43 = 3543697080

Therefore, the lowest common multiple of 270,168,792,991,516 is 3543697080.

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.

270 x 168 x 792 x 991 x 516 = 18370525662720

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.

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

991 : 1, 991

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,168,792,991,516, is 1.

Now, the common factors can be found like this.

270:2x 3x 3x 3x 5

168:2x 2x 2x 3x 7

792:2x 2x 2x 3x 3x 11

991:991

516:2x 2x 3x 43

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 2x 3x 3x 3x 3 = 5184

Therefore, the value for common factors is 5184.

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 = 18370525662720/(1x5184)

LCM = 18370525662720/5184

LCM = 3543697080

Thus, we can understand that the LCM of 270,168,792,991,516 is 3543697080.

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

• LCM of 586, 725, 735, 231, 631
• LCM of 267, 786, 806, 844, 757
• LCM of 440, 212, 808, 830, 515
• LCM of 789, 205, 662, 295, 304
• LCM of 136, 796, 375, 774, 299

1. What is the LCM of 270, 168, 792, 991, 516?

Answer: LCM of 270, 168, 792, 991, 516 is 3543697080.

2. How to calculate the LCM of 270, 168, 792, 991, 516?

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 270, 168, 792, 991, 516.

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}.