Given numbers are 414,577,464,161

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

The LCM of 414,577,464,161 is 387937872.

Find LCM of 414,577,464,161 with Prime Factorization

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

2 x 23 x 9 x 577 x 232 x 7 = 387937872

Therefore, the lowest common multiple of 414,577,464,161 is 387937872.

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.

414 x 577 x 464 x 161 = 17845142112

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.

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

577 : 1, 577

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

161 : 1, 7, 23, 161

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,577,464,161, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

577:577

464:2x 2x 2x 2x 29

161:7x 23

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

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 17845142112/(1x46)

LCM = 17845142112/46

LCM = 387937872

Thus, we can understand that the LCM of 414,577,464,161 is 387937872.

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

• LCM of 710, 353, 491, 579
• LCM of 255, 238, 162, 214
• LCM of 980, 942, 671, 467
• LCM of 759, 387, 431, 640
• LCM of 312, 151, 398, 752

1. What is the LCM of 414, 577, 464, 161?

Answer: LCM of 414, 577, 464, 161 is 387937872.

2. How to calculate the LCM of 414, 577, 464, 161?

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 414, 577, 464, 161.

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}.