Given numbers are 395,250,168,138,704

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

The LCM of 395,250,168,138,704 is 3357816000.

Find LCM of 395,250,168,138,704 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 79 x 25 x 7 x 23 x 88 = 3357816000

Therefore, the lowest common multiple of 395,250,168,138,704 is 3357816000.

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.

395 x 250 x 168 x 138 x 704 = 1611751680000

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.

395 : 1, 5, 79, 395

250 : 1, 2, 5, 10, 25, 50, 125, 250

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,250,168,138,704, is 1.

Now, the common factors can be found like this.

395:5x 79

250:2x 5x 5x 5

168:2x 2x 2x 3x 7

138:2x 3x 23

704:2x 2x 2x 2x 2x 2x 11

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 5 = 480

Therefore, the value for common factors is 480.

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 = 1611751680000/(1x480)

LCM = 1611751680000/480

LCM = 3357816000

Thus, we can understand that the LCM of 395,250,168,138,704 is 3357816000.

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

• LCM of 415, 769, 698, 499, 646
• LCM of 976, 308, 933, 628, 929
• LCM of 963, 956, 587, 450, 660
• LCM of 132, 191, 755, 147, 275
• LCM of 490, 303, 682, 507, 158

1. What is the LCM of 395, 250, 168, 138, 704?

Answer: LCM of 395, 250, 168, 138, 704 is 3357816000.

2. How to calculate the LCM of 395, 250, 168, 138, 704?

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 395, 250, 168, 138, 704.

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}.