Given numbers are 345,409,956,172

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

The LCM of 345,409,956,172 is 5800544340.

Find LCM of 345,409,956,172 with Prime Factorization

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

2 x 2 x 345 x 409 x 239 x 43 = 5800544340

Therefore, the lowest common multiple of 345,409,956,172 is 5800544340.

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.

345 x 409 x 956 x 172 = 23202177360

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

409 : 1, 409

956 : 1, 2, 4, 239, 478, 956

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,409,956,172, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

409:409

956:2x 2x 239

172:2x 2x 43

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 23202177360/(1x4)

LCM = 23202177360/4

LCM = 5800544340

Thus, we can understand that the LCM of 345,409,956,172 is 5800544340.

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

• LCM of 849, 643, 566, 698
• LCM of 420, 848, 360, 986
• LCM of 555, 250, 771, 986
• LCM of 400, 266, 815, 991
• LCM of 417, 676, 756, 384

1. What is the LCM of 345, 409, 956, 172?

Answer: LCM of 345, 409, 956, 172 is 5800544340.

2. How to calculate the LCM of 345, 409, 956, 172?

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 345, 409, 956, 172.

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}.