Given numbers are 205,205,301,107,613

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

The LCM of 205,205,301,107,613 is 4047292655.

Find LCM of 205,205,301,107,613 with Prime Factorization

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

5 x 41 x 1 x 1 x 301 x 107 x 613 = 4047292655

Therefore, the lowest common multiple of 205,205,301,107,613 is 4047292655.

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.

205 x 205 x 301 x 107 x 613 = 829694994275

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.

205 : 1, 5, 41, 205

205 : 1, 5, 41, 205

301 : 1, 7, 43, 301

107 : 1, 107

613 : 1, 613

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,205,301,107,613, is 1.

Now, the common factors can be found like this.

205:5x 41

205:5x 41

301:7x 43

107:107

613:613

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

5x 41 = 205

Therefore, the value for common factors is 205.

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 = 829694994275/(1x205)

LCM = 829694994275/205

LCM = 4047292655

Thus, we can understand that the LCM of 205,205,301,107,613 is 4047292655.

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

• LCM of 519, 370, 493, 138, 362
• LCM of 571, 245, 812, 530, 814
• LCM of 509, 840, 755, 412, 124
• LCM of 527, 991, 708, 298, 802
• LCM of 661, 145, 765, 533, 988

1. What is the LCM of 205, 205, 301, 107, 613?

Answer: LCM of 205, 205, 301, 107, 613 is 4047292655.

2. How to calculate the LCM of 205, 205, 301, 107, 613?

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 205, 205, 301, 107, 613.

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}.