Given numbers are 395,171,365,410

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

The LCM of 395,171,365,410 is 404324370.

Find LCM of 395,171,365,410 with Prime Factorization

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

5 x 79 x 171 x 73 x 82 = 404324370

Therefore, the lowest common multiple of 395,171,365,410 is 404324370.

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 171 x 365 x 410 = 10108109250

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

171 : 1, 3, 9, 19, 57, 171

365 : 1, 5, 73, 365

410 : 1, 2, 5, 10, 41, 82, 205, 410

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,171,365,410, is 1.

Now, the common factors can be found like this.

395:5x 79

171:3x 3x 19

365:5x 73

410:2x 5x 41

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 10108109250/(1x25)

LCM = 10108109250/25

LCM = 404324370

Thus, we can understand that the LCM of 395,171,365,410 is 404324370.

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

• LCM of 793, 638, 673, 271
• LCM of 105, 172, 613, 191
• LCM of 620, 470, 341, 543
• LCM of 123, 934, 916, 503
• LCM of 559, 268, 873, 222

1. What is the LCM of 395, 171, 365, 410?

Answer: LCM of 395, 171, 365, 410 is 404324370.

2. How to calculate the LCM of 395, 171, 365, 410?

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, 171, 365, 410.

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}.