Given numbers are 326,338,182,514

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

The LCM of 326,338,182,514 is 99114106.

Find LCM of 326,338,182,514 with Prime Factorization

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

2 x 13 x 163 x 13 x 7 x 257 = 99114106

Therefore, the lowest common multiple of 326,338,182,514 is 99114106.

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.

326 x 338 x 182 x 514 = 10307867024

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.

326 : 1, 2, 163, 326

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

182 : 1, 2, 7, 13, 14, 26, 91, 182

514 : 1, 2, 257, 514

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,338,182,514, is 2.

Now, the common factors can be found like this.

326:2x 163

338:2x 13x 13

182:2x 7x 13

514:2x 257

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

2x 2x 13 = 52

Therefore, the value for common factors is 52.

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 = 10307867024/(2x52)

LCM = 10307867024/104

LCM = 99114106

Thus, we can understand that the LCM of 326,338,182,514 is 99114106.

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

• LCM of 295, 453, 806, 128
• LCM of 923, 176, 451, 392
• LCM of 241, 891, 215, 736
• LCM of 373, 328, 449, 244
• LCM of 692, 844, 740, 920

1. What is the LCM of 326, 338, 182, 514?

Answer: LCM of 326, 338, 182, 514 is 99114106.

2. How to calculate the LCM of 326, 338, 182, 514?

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 326, 338, 182, 514.

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}.