Given numbers are 365,205,221,164

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

The LCM of 365,205,221,164 is 13229060.

Find LCM of 365,205,221,164 with Prime Factorization

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

5 x 41 x 73 x 1 x 221 x 4 = 13229060

Therefore, the lowest common multiple of 365,205,221,164 is 13229060.

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.

365 x 205 x 221 x 164 = 2711957300

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.

365 : 1, 5, 73, 365

205 : 1, 5, 41, 205

221 : 1, 13, 17, 221

164 : 1, 2, 4, 41, 82, 164

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,205,221,164, is 1.

Now, the common factors can be found like this.

365:5x 73

205:5x 41

221:13x 17

164:2x 2x 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 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 = 2711957300/(1x205)

LCM = 2711957300/205

LCM = 13229060

Thus, we can understand that the LCM of 365,205,221,164 is 13229060.

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

• LCM of 689, 798, 783, 969
• LCM of 566, 875, 450, 516
• LCM of 850, 734, 831, 763
• LCM of 622, 139, 498, 573
• LCM of 409, 690, 279, 221

1. What is the LCM of 365, 205, 221, 164?

Answer: LCM of 365, 205, 221, 164 is 13229060.

2. How to calculate the LCM of 365, 205, 221, 164?

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 365, 205, 221, 164.

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}.