Given numbers are 306,556,320,338,297

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

The LCM of 306,556,320,338,297 is 37953938880.

Find LCM of 306,556,320,338,297 with Prime Factorization

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

2 x 2 x 3 x 3 x 17 x 139 x 80 x 169 x 33 = 37953938880

Therefore, the lowest common multiple of 306,556,320,338,297 is 37953938880.

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.

306 x 556 x 320 x 338 x 297 = 5465367198720

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.

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

556 : 1, 2, 4, 139, 278, 556

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

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

297 : 1, 3, 9, 11, 27, 33, 99, 297

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,556,320,338,297, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

556:2x 2x 139

320:2x 2x 2x 2x 2x 2x 5

338:2x 13x 13

297:3x 3x 3x 11

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 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 5465367198720/(1x144)

LCM = 5465367198720/144

LCM = 37953938880

Thus, we can understand that the LCM of 306,556,320,338,297 is 37953938880.

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

• LCM of 250, 267, 211, 367, 911
• LCM of 977, 654, 102, 323, 379
• LCM of 581, 991, 122, 970, 222
• LCM of 854, 368, 811, 600, 443
• LCM of 549, 662, 754, 468, 885

1. What is the LCM of 306, 556, 320, 338, 297?

Answer: LCM of 306, 556, 320, 338, 297 is 37953938880.

2. How to calculate the LCM of 306, 556, 320, 338, 297?

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 306, 556, 320, 338, 297.

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}.