Given numbers are 351,226,212,742,407

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

The LCM of 351,226,212,742,407 is 23955976044.

Find LCM of 351,226,212,742,407 with Prime Factorization

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

2 x 53 x 351 x 113 x 2 x 7 x 407 = 23955976044

Therefore, the lowest common multiple of 351,226,212,742,407 is 23955976044.

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.

351 x 226 x 212 x 742 x 407 = 5078666921328

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.

351 : 1, 3, 9, 13, 27, 39, 117, 351

226 : 1, 2, 113, 226

212 : 1, 2, 4, 53, 106, 212

742 : 1, 2, 7, 14, 53, 106, 371, 742

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,226,212,742,407, is 1.

Now, the common factors can be found like this.

351:3x 3x 3x 13

226:2x 113

212:2x 2x 53

742:2x 7x 53

407:11x 37

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 53 = 212

Therefore, the value for common factors is 212.

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 = 5078666921328/(1x212)

LCM = 5078666921328/212

LCM = 23955976044

Thus, we can understand that the LCM of 351,226,212,742,407 is 23955976044.

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

• LCM of 808, 879, 945, 808, 622
• LCM of 344, 870, 138, 495, 227
• LCM of 555, 552, 559, 254, 680
• LCM of 337, 770, 499, 683, 756
• LCM of 953, 676, 209, 919, 540

1. What is the LCM of 351, 226, 212, 742, 407?

Answer: LCM of 351, 226, 212, 742, 407 is 23955976044.

2. How to calculate the LCM of 351, 226, 212, 742, 407?

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 351, 226, 212, 742, 407.

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}.