Given numbers are 164,465,214,338

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

The LCM of 164,465,214,338 is 1379009580.

Find LCM of 164,465,214,338 with Prime Factorization

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

2 x 82 x 465 x 107 x 169 = 1379009580

Therefore, the lowest common multiple of 164,465,214,338 is 1379009580.

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.

164 x 465 x 214 x 338 = 5516038320

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.

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

465 : 1, 3, 5, 15, 31, 93, 155, 465

214 : 1, 2, 107, 214

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 164,465,214,338, is 1.

Now, the common factors can be found like this.

164:2x 2x 41

465:3x 5x 31

214:2x 107

338:2x 13x 13

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 5516038320/(1x4)

LCM = 5516038320/4

LCM = 1379009580

Thus, we can understand that the LCM of 164,465,214,338 is 1379009580.

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

• LCM of 654, 158, 807, 712
• LCM of 844, 687, 837, 924
• LCM of 499, 852, 678, 735
• LCM of 692, 366, 894, 508
• LCM of 161, 713, 125, 462

1. What is the LCM of 164, 465, 214, 338?

Answer: LCM of 164, 465, 214, 338 is 1379009580.

2. How to calculate the LCM of 164, 465, 214, 338?

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 164, 465, 214, 338.

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}.