Given numbers are 450,341,566,868,104

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

The LCM of 450,341,566,868,104 is 15807191400.

Find LCM of 450,341,566,868,104 with Prime Factorization

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

2 x 2 x 31 x 225 x 11 x 283 x 7 x 26 = 15807191400

Therefore, the lowest common multiple of 450,341,566,868,104 is 15807191400.

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.

450 x 341 x 566 x 868 x 104 = 7840366934400

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.

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

341 : 1, 11, 31, 341

566 : 1, 2, 283, 566

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

104 : 1, 2, 4, 8, 13, 26, 52, 104

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,341,566,868,104, is 1.

Now, the common factors can be found like this.

450:2x 3x 3x 5x 5

341:11x 31

566:2x 283

868:2x 2x 7x 31

104:2x 2x 2x 13

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 2x 31 = 496

Therefore, the value for common factors is 496.

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 = 7840366934400/(1x496)

LCM = 7840366934400/496

LCM = 15807191400

Thus, we can understand that the LCM of 450,341,566,868,104 is 15807191400.

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

• LCM of 504, 611, 407, 966, 165
• LCM of 840, 531, 971, 295, 524
• LCM of 765, 585, 980, 890, 472
• LCM of 563, 109, 249, 808, 363
• LCM of 915, 221, 774, 428, 138

1. What is the LCM of 450, 341, 566, 868, 104?

Answer: LCM of 450, 341, 566, 868, 104 is 15807191400.

2. How to calculate the LCM of 450, 341, 566, 868, 104?

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 450, 341, 566, 868, 104.

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}.