Given numbers are 174,816,330,394

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

The LCM of 174,816,330,394 is 256399440.

Find LCM of 174,816,330,394 with Prime Factorization

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

2 x 3 x 29 x 136 x 55 x 197 = 256399440

Therefore, the lowest common multiple of 174,816,330,394 is 256399440.

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 816 x 330 x 394 = 18460759680

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

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

394 : 1, 2, 197, 394

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,816,330,394, is 2.

Now, the common factors can be found like this.

174:2x 3x 29

816:2x 2x 2x 2x 3x 17

330:2x 3x 5x 11

394:2x 197

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 18460759680/(2x36)

LCM = 18460759680/72

LCM = 256399440

Thus, we can understand that the LCM of 174,816,330,394 is 256399440.

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

• LCM of 695, 653, 650, 679
• LCM of 755, 340, 996, 634
• LCM of 783, 998, 631, 848
• LCM of 558, 686, 346, 889
• LCM of 679, 500, 933, 664

1. What is the LCM of 174, 816, 330, 394?

Answer: LCM of 174, 816, 330, 394 is 256399440.

2. How to calculate the LCM of 174, 816, 330, 394?

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, 816, 330, 394.

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}.