Given numbers are 213,238,299,403

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

The LCM of 213,238,299,403 is 469882686.

Find LCM of 213,238,299,403 with Prime Factorization

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

13 x 213 x 238 x 23 x 31 = 469882686

Therefore, the lowest common multiple of 213,238,299,403 is 469882686.

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.

213 x 238 x 299 x 403 = 6108474918

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.

213 : 1, 3, 71, 213

238 : 1, 2, 7, 14, 17, 34, 119, 238

299 : 1, 13, 23, 299

403 : 1, 13, 31, 403

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,238,299,403, is 1.

Now, the common factors can be found like this.

213:3x 71

238:2x 7x 17

299:13x 23

403:13x 31

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

13 = 13

Therefore, the value for common factors is 13.

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 = 6108474918/(1x13)

LCM = 6108474918/13

LCM = 469882686

Thus, we can understand that the LCM of 213,238,299,403 is 469882686.

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

• LCM of 112, 677, 783, 390
• LCM of 123, 547, 805, 514
• LCM of 403, 434, 854, 588
• LCM of 821, 714, 689, 300
• LCM of 703, 916, 936, 640

1. What is the LCM of 213, 238, 299, 403?

Answer: LCM of 213, 238, 299, 403 is 469882686.

2. How to calculate the LCM of 213, 238, 299, 403?

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 213, 238, 299, 403.

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}.