Given numbers are 450,224,830,274,660

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

The LCM of 450,224,830,274,660 is 6304082400.

Find LCM of 450,224,830,274,660 with Prime Factorization

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

2 x 2 x 3 x 5 x 15 x 56 x 83 x 137 x 11 = 6304082400

Therefore, the lowest common multiple of 450,224,830,274,660 is 6304082400.

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 224 x 830 x 274 x 660 = 15129797760000

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

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

830 : 1, 2, 5, 10, 83, 166, 415, 830

274 : 1, 2, 137, 274

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,224,830,274,660, is 2.

Now, the common factors can be found like this.

450:2x 3x 3x 5x 5

224:2x 2x 2x 2x 2x 7

830:2x 5x 83

274:2x 137

660:2x 2x 3x 5x 11

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 3x 5x 5 = 1200

Therefore, the value for common factors is 1200.

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 = 15129797760000/(2x1200)

LCM = 15129797760000/2400

LCM = 6304082400

Thus, we can understand that the LCM of 450,224,830,274,660 is 6304082400.

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

• LCM of 864, 371, 320, 428, 468
• LCM of 340, 354, 174, 485, 508
• LCM of 626, 860, 899, 590, 708
• LCM of 941, 774, 678, 286, 627
• LCM of 319, 276, 213, 713, 951

1. What is the LCM of 450, 224, 830, 274, 660?

Answer: LCM of 450, 224, 830, 274, 660 is 6304082400.

2. How to calculate the LCM of 450, 224, 830, 274, 660?

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, 224, 830, 274, 660.

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}.