Given numbers are 301,513,213,306

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

The LCM of 301,513,213,306 is 372752982.

Find LCM of 301,513,213,306 with Prime Factorization

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

3 x 3 x 301 x 57 x 71 x 34 = 372752982

Therefore, the lowest common multiple of 301,513,213,306 is 372752982.

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.

301 x 513 x 213 x 306 = 10064330514

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.

301 : 1, 7, 43, 301

513 : 1, 3, 9, 19, 27, 57, 171, 513

213 : 1, 3, 71, 213

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,513,213,306, is 1.

Now, the common factors can be found like this.

301:7x 43

513:3x 3x 3x 19

213:3x 71

306:2x 3x 3x 17

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 10064330514/(1x27)

LCM = 10064330514/27

LCM = 372752982

Thus, we can understand that the LCM of 301,513,213,306 is 372752982.

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

• LCM of 308, 437, 799, 980
• LCM of 587, 424, 977, 310
• LCM of 437, 274, 536, 781
• LCM of 149, 662, 414, 805
• LCM of 987, 818, 761, 202

1. What is the LCM of 301, 513, 213, 306?

Answer: LCM of 301, 513, 213, 306 is 372752982.

2. How to calculate the LCM of 301, 513, 213, 306?

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 301, 513, 213, 306.

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}.