Given numbers are 144,232,926,479,857

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

The LCM of 144,232,926,479,857 is 793702624464.

Find LCM of 144,232,926,479,857 with Prime Factorization

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

2 x 2 x 2 x 18 x 29 x 463 x 479 x 857 = 793702624464

Therefore, the lowest common multiple of 144,232,926,479,857 is 793702624464.

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 232 x 926 x 479 x 857 = 12699241991424

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

232 : 1, 2, 4, 8, 29, 58, 116, 232

926 : 1, 2, 463, 926

479 : 1, 479

857 : 1, 857

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,232,926,479,857, is 1.

Now, the common factors can be found like this.

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

232:2x 2x 2x 29

926:2x 463

479:479

857:857

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 2 = 16

Therefore, the value for common factors is 16.

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 = 12699241991424/(1x16)

LCM = 12699241991424/16

LCM = 793702624464

Thus, we can understand that the LCM of 144,232,926,479,857 is 793702624464.

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

• LCM of 369, 994, 863, 849, 188
• LCM of 896, 962, 754, 726, 420
• LCM of 642, 189, 790, 541, 748
• LCM of 433, 146, 592, 802, 325
• LCM of 833, 317, 302, 481, 372

1. What is the LCM of 144, 232, 926, 479, 857?

Answer: LCM of 144, 232, 926, 479, 857 is 793702624464.

2. How to calculate the LCM of 144, 232, 926, 479, 857?

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, 232, 926, 479, 857.

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}.