Given numbers are 919,240,106,864,177

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

The LCM of 919,240,106,864,177 is 12414440160.

Find LCM of 919,240,106,864,177 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 919 x 5 x 53 x 18 x 59 = 12414440160

Therefore, the lowest common multiple of 919,240,106,864,177 is 12414440160.

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.

919 x 240 x 106 x 864 x 177 = 3575358766080

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.

919 : 1, 919

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

106 : 1, 2, 53, 106

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

177 : 1, 3, 59, 177

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 919,240,106,864,177, is 1.

Now, the common factors can be found like this.

919:919

240:2x 2x 2x 2x 3x 5

106:2x 53

864:2x 2x 2x 2x 2x 3x 3x 3

177:3x 59

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 3 = 288

Therefore, the value for common factors is 288.

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 = 3575358766080/(1x288)

LCM = 3575358766080/288

LCM = 12414440160

Thus, we can understand that the LCM of 919,240,106,864,177 is 12414440160.

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

• LCM of 469, 198, 405, 435, 973
• LCM of 821, 689, 358, 103, 865
• LCM of 478, 100, 681, 829, 275
• LCM of 368, 523, 301, 700, 275
• LCM of 968, 955, 316, 505, 521

1. What is the LCM of 919, 240, 106, 864, 177?

Answer: LCM of 919, 240, 106, 864, 177 is 12414440160.

2. How to calculate the LCM of 919, 240, 106, 864, 177?

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 919, 240, 106, 864, 177.

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}.