Given numbers are 414,504,621,253,796

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

The LCM of 414,504,621,253,796 is 76124664.

Find LCM of 414,504,621,253,796 with Prime Factorization

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

2 x 2 x 3 x 3 x 23 x 1 x 14 x 3 x 11 x 199 = 76124664

Therefore, the lowest common multiple of 414,504,621,253,796 is 76124664.

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 504 x 621 x 253 x 796 = 26094925821888

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

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

621 : 1, 3, 9, 23, 27, 69, 207, 621

253 : 1, 11, 23, 253

796 : 1, 2, 4, 199, 398, 796

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,504,621,253,796, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

504:2x 2x 2x 3x 3x 7

621:3x 3x 3x 23

253:11x 23

796:2x 2x 199

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 2x 3x 3x 3x 3x 23x 23 = 342792

Therefore, the value for common factors is 342792.

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 = 26094925821888/(1x342792)

LCM = 26094925821888/342792

LCM = 76124664

Thus, we can understand that the LCM of 414,504,621,253,796 is 76124664.

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

• LCM of 190, 128, 758, 727, 134
• LCM of 787, 754, 183, 579, 807
• LCM of 125, 870, 457, 524, 888
• LCM of 958, 887, 752, 940, 333
• LCM of 223, 507, 585, 928, 932

1. What is the LCM of 414, 504, 621, 253, 796?

Answer: LCM of 414, 504, 621, 253, 796 is 76124664.

2. How to calculate the LCM of 414, 504, 621, 253, 796?

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, 504, 621, 253, 796.

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}.