Given numbers are 338,465,457,946

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

The LCM of 338,465,457,946 is 33974024370.

Find LCM of 338,465,457,946 with Prime Factorization

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

2 x 169 x 465 x 457 x 473 = 33974024370

Therefore, the lowest common multiple of 338,465,457,946 is 33974024370.

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.

338 x 465 x 457 x 946 = 67948048740

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.

338 : 1, 2, 13, 26, 169, 338

465 : 1, 3, 5, 15, 31, 93, 155, 465

457 : 1, 457

946 : 1, 2, 11, 22, 43, 86, 473, 946

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,465,457,946, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

465:3x 5x 31

457:457

946:2x 11x 43

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

2 = 2

Therefore, the value for common factors is 2.

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 = 67948048740/(1x2)

LCM = 67948048740/2

LCM = 33974024370

Thus, we can understand that the LCM of 338,465,457,946 is 33974024370.

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

• LCM of 372, 732, 851, 381
• LCM of 125, 591, 259, 820
• LCM of 643, 527, 211, 461
• LCM of 145, 347, 491, 515
• LCM of 326, 810, 254, 774

1. What is the LCM of 338, 465, 457, 946?

Answer: LCM of 338, 465, 457, 946 is 33974024370.

2. How to calculate the LCM of 338, 465, 457, 946?

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 338, 465, 457, 946.

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}.