Given numbers are 450,121,464,177,572

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

The LCM of 450,121,464,177,572 is 9689050800.

Find LCM of 450,121,464,177,572 with Prime Factorization

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

2 x 2 x 3 x 11 x 75 x 11 x 116 x 59 x 13 = 9689050800

Therefore, the lowest common multiple of 450,121,464,177,572 is 9689050800.

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 121 x 464 x 177 x 572 = 2557909411200

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

121 : 1, 11, 121

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

177 : 1, 3, 59, 177

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,121,464,177,572, is 1.

Now, the common factors can be found like this.

450:2x 3x 3x 5x 5

121:11x 11

464:2x 2x 2x 2x 29

177:3x 59

572:2x 2x 11x 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 3x 11 = 264

Therefore, the value for common factors is 264.

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 = 2557909411200/(1x264)

LCM = 2557909411200/264

LCM = 9689050800

Thus, we can understand that the LCM of 450,121,464,177,572 is 9689050800.

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

• LCM of 812, 196, 315, 888, 889
• LCM of 205, 153, 232, 400, 631
• LCM of 311, 483, 139, 291, 191
• LCM of 643, 457, 702, 979, 278
• LCM of 982, 770, 765, 583, 760

1. What is the LCM of 450, 121, 464, 177, 572?

Answer: LCM of 450, 121, 464, 177, 572 is 9689050800.

2. How to calculate the LCM of 450, 121, 464, 177, 572?

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, 121, 464, 177, 572.

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}.