Given numbers are 151,172,412,346

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

The LCM of 151,172,412,346 is 462795068.

Find LCM of 151,172,412,346 with Prime Factorization

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

2 x 2 x 151 x 43 x 103 x 173 = 462795068

Therefore, the lowest common multiple of 151,172,412,346 is 462795068.

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.

151 x 172 x 412 x 346 = 3702360544

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.

151 : 1, 151

172 : 1, 2, 4, 43, 86, 172

412 : 1, 2, 4, 103, 206, 412

346 : 1, 2, 173, 346

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 151,172,412,346, is 1.

Now, the common factors can be found like this.

151:151

172:2x 2x 43

412:2x 2x 103

346:2x 173

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 2 = 8

Therefore, the value for common factors is 8.

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 = 3702360544/(1x8)

LCM = 3702360544/8

LCM = 462795068

Thus, we can understand that the LCM of 151,172,412,346 is 462795068.

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

• LCM of 131, 744, 293, 719
• LCM of 220, 372, 321, 848
• LCM of 497, 304, 266, 261
• LCM of 536, 944, 121, 560
• LCM of 361, 533, 948, 208

1. What is the LCM of 151, 172, 412, 346?

Answer: LCM of 151, 172, 412, 346 is 462795068.

2. How to calculate the LCM of 151, 172, 412, 346?

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 151, 172, 412, 346.

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}.