Given numbers are 145,380,668,644,257

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

The LCM of 145,380,668,644,257 is 76147748180.

Find LCM of 145,380,668,644,257 with Prime Factorization

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

2 x 2 x 5 x 29 x 19 x 167 x 161 x 257 = 76147748180

Therefore, the lowest common multiple of 145,380,668,644,257 is 76147748180.

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.

145 x 380 x 668 x 644 x 257 = 6091819854400

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.

145 : 1, 5, 29, 145

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

668 : 1, 2, 4, 167, 334, 668

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 145,380,668,644,257, is 1.

Now, the common factors can be found like this.

145:5x 29

380:2x 2x 5x 19

668:2x 2x 167

644:2x 2x 7x 23

257:257

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 5 = 80

Therefore, the value for common factors is 80.

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 = 6091819854400/(1x80)

LCM = 6091819854400/80

LCM = 76147748180

Thus, we can understand that the LCM of 145,380,668,644,257 is 76147748180.

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

• LCM of 923, 425, 794, 327, 459
• LCM of 160, 141, 837, 254, 103
• LCM of 893, 259, 936, 948, 152
• LCM of 698, 535, 388, 223, 111
• LCM of 661, 320, 931, 541, 789

1. What is the LCM of 145, 380, 668, 644, 257?

Answer: LCM of 145, 380, 668, 644, 257 is 76147748180.

2. How to calculate the LCM of 145, 380, 668, 644, 257?

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 145, 380, 668, 644, 257.

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}.