Given numbers are 430,504,505,537,230

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

The LCM of 430,504,505,537,230 is 45057930120.

Find LCM of 430,504,505,537,230 with Prime Factorization

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

2 x 3 x 5 x 43 x 84 x 101 x 179 x 23 = 45057930120

Therefore, the lowest common multiple of 430,504,505,537,230 is 45057930120.

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.

430 x 504 x 505 x 537 x 230 = 13517379036000

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.

430 : 1, 2, 5, 10, 43, 86, 215, 430

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

505 : 1, 5, 101, 505

537 : 1, 3, 179, 537

230 : 1, 2, 5, 10, 23, 46, 115, 230

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 430,504,505,537,230, is 1.

Now, the common factors can be found like this.

430:2x 5x 43

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

505:5x 101

537:3x 179

230:2x 5x 23

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 3x 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 13517379036000/(1x300)

LCM = 13517379036000/300

LCM = 45057930120

Thus, we can understand that the LCM of 430,504,505,537,230 is 45057930120.

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

• LCM of 314, 469, 233, 229, 806
• LCM of 489, 139, 145, 689, 744
• LCM of 120, 922, 253, 201, 929
• LCM of 588, 469, 526, 439, 255
• LCM of 935, 429, 616, 120, 957

1. What is the LCM of 430, 504, 505, 537, 230?

Answer: LCM of 430, 504, 505, 537, 230 is 45057930120.

2. How to calculate the LCM of 430, 504, 505, 537, 230?

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 430, 504, 505, 537, 230.

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}.