Given numbers are 414,461,932,829

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

The LCM of 414,461,932,829 is 73729572156.

Find LCM of 414,461,932,829 with Prime Factorization

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

2 x 207 x 461 x 466 x 829 = 73729572156

Therefore, the lowest common multiple of 414,461,932,829 is 73729572156.

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 461 x 932 x 829 = 147459144312

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

461 : 1, 461

932 : 1, 2, 4, 233, 466, 932

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,461,932,829, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

461:461

932:2x 2x 233

829:829

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 = 147459144312/(1x2)

LCM = 147459144312/2

LCM = 73729572156

Thus, we can understand that the LCM of 414,461,932,829 is 73729572156.

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

• LCM of 591, 168, 836, 435
• LCM of 967, 523, 160, 504
• LCM of 635, 386, 226, 718
• LCM of 115, 863, 851, 174
• LCM of 193, 404, 740, 554

1. What is the LCM of 414, 461, 932, 829?

Answer: LCM of 414, 461, 932, 829 is 73729572156.

2. How to calculate the LCM of 414, 461, 932, 829?

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, 461, 932, 829.

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}.