Given numbers are 144,920,165,610,388

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

The LCM of 144,920,165,610,388 is 1077840720.

Find LCM of 144,920,165,610,388 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 6 x 23 x 11 x 61 x 97 = 1077840720

Therefore, the lowest common multiple of 144,920,165,610,388 is 1077840720.

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.

144 x 920 x 165 x 610 x 388 = 5173635456000

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.

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

165 : 1, 3, 5, 11, 15, 33, 55, 165

610 : 1, 2, 5, 10, 61, 122, 305, 610

388 : 1, 2, 4, 97, 194, 388

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,920,165,610,388, is 1.

Now, the common factors can be found like this.

144:2x 2x 2x 2x 3x 3

920:2x 2x 2x 5x 23

165:3x 5x 11

610:2x 5x 61

388:2x 2x 97

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 5x 5 = 4800

Therefore, the value for common factors is 4800.

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 = 5173635456000/(1x4800)

LCM = 5173635456000/4800

LCM = 1077840720

Thus, we can understand that the LCM of 144,920,165,610,388 is 1077840720.

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

• LCM of 620, 668, 774, 749, 269
• LCM of 923, 694, 136, 167, 681
• LCM of 205, 591, 497, 398, 113
• LCM of 921, 962, 188, 969, 308
• LCM of 922, 976, 644, 301, 624

1. What is the LCM of 144, 920, 165, 610, 388?

Answer: LCM of 144, 920, 165, 610, 388 is 1077840720.

2. How to calculate the LCM of 144, 920, 165, 610, 388?

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 144, 920, 165, 610, 388.

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}.