Given numbers are 452,398,252,218,646

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

The LCM of 452,398,252,218,646 is 199508351868.

Find LCM of 452,398,252,218,646 with Prime Factorization

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

2 x 2 x 113 x 199 x 63 x 109 x 323 = 199508351868

Therefore, the lowest common multiple of 452,398,252,218,646 is 199508351868.

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.

452 x 398 x 252 x 218 x 646 = 6384267259776

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.

452 : 1, 2, 4, 113, 226, 452

398 : 1, 2, 199, 398

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

218 : 1, 2, 109, 218

646 : 1, 2, 17, 19, 34, 38, 323, 646

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,398,252,218,646, is 2.

Now, the common factors can be found like this.

452:2x 2x 113

398:2x 199

252:2x 2x 3x 3x 7

218:2x 109

646:2x 17x 19

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 2 = 16

Therefore, the value for common factors is 16.

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 = 6384267259776/(2x16)

LCM = 6384267259776/32

LCM = 199508351868

Thus, we can understand that the LCM of 452,398,252,218,646 is 199508351868.

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

• LCM of 259, 482, 401, 993, 546
• LCM of 687, 935, 654, 357, 292
• LCM of 487, 767, 505, 277, 838
• LCM of 676, 317, 806, 712, 978
• LCM of 866, 379, 749, 238, 318

1. What is the LCM of 452, 398, 252, 218, 646?

Answer: LCM of 452, 398, 252, 218, 646 is 199508351868.

2. How to calculate the LCM of 452, 398, 252, 218, 646?

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 452, 398, 252, 218, 646.

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}.