Given numbers are 174,401,414,974

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

The LCM of 174,401,414,974 is 2344615722.

Find LCM of 174,401,414,974 with Prime Factorization

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

2 x 3 x 29 x 401 x 69 x 487 = 2344615722

Therefore, the lowest common multiple of 174,401,414,974 is 2344615722.

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.

174 x 401 x 414 x 974 = 28135388664

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.

174 : 1, 2, 3, 6, 29, 58, 87, 174

401 : 1, 401

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,401,414,974, is 1.

Now, the common factors can be found like this.

174:2x 3x 29

401:401

414:2x 3x 3x 23

974:2x 487

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 3 = 12

Therefore, the value for common factors is 12.

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 = 28135388664/(1x12)

LCM = 28135388664/12

LCM = 2344615722

Thus, we can understand that the LCM of 174,401,414,974 is 2344615722.

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

• LCM of 539, 145, 796, 526
• LCM of 720, 429, 710, 962
• LCM of 249, 228, 540, 773
• LCM of 245, 479, 491, 672
• LCM of 179, 718, 760, 194

1. What is the LCM of 174, 401, 414, 974?

Answer: LCM of 174, 401, 414, 974 is 2344615722.

2. How to calculate the LCM of 174, 401, 414, 974?

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 174, 401, 414, 974.

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}.