Given numbers are 395,171,242,258,397

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

The LCM of 395,171,242,258,397 is 279040688190.

Find LCM of 395,171,242,258,397 with Prime Factorization

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

2 x 3 x 395 x 57 x 121 x 43 x 397 = 279040688190

Therefore, the lowest common multiple of 395,171,242,258,397 is 279040688190.

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 242 x 258 x 397 = 1674244129140

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

242 : 1, 2, 11, 22, 121, 242

258 : 1, 2, 3, 6, 43, 86, 129, 258

397 : 1, 397

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,171,242,258,397, is 1.

Now, the common factors can be found like this.

395:5x 79

171:3x 3x 19

242:2x 11x 11

258:2x 3x 43

397:397

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 1674244129140/(1x6)

LCM = 1674244129140/6

LCM = 279040688190

Thus, we can understand that the LCM of 395,171,242,258,397 is 279040688190.

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

• LCM of 316, 867, 879, 566, 565
• LCM of 963, 507, 892, 921, 525
• LCM of 714, 516, 217, 916, 964
• LCM of 383, 843, 366, 941, 528
• LCM of 849, 665, 882, 447, 406

1. What is the LCM of 395, 171, 242, 258, 397?

Answer: LCM of 395, 171, 242, 258, 397 is 279040688190.

2. How to calculate the LCM of 395, 171, 242, 258, 397?

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, 242, 258, 397.

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}.