Given numbers are 305,430,749,720,230

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

The LCM of 305,430,749,720,230 is 32534223120.

Find LCM of 305,430,749,720,230 with Prime Factorization

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

2 x 5 x 61 x 43 x 749 x 72 x 23 = 32534223120

Therefore, the lowest common multiple of 305,430,749,720,230 is 32534223120.

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.

305 x 430 x 749 x 720 x 230 = 16267111560000

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.

305 : 1, 5, 61, 305

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

749 : 1, 7, 107, 749

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

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 305,430,749,720,230, is 1.

Now, the common factors can be found like this.

305:5x 61

430:2x 5x 43

749:7x 107

720:2x 2x 2x 2x 3x 3x 5

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 5x 5x 5 = 500

Therefore, the value for common factors is 500.

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 = 16267111560000/(1x500)

LCM = 16267111560000/500

LCM = 32534223120

Thus, we can understand that the LCM of 305,430,749,720,230 is 32534223120.

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

• LCM of 931, 956, 955, 131, 814
• LCM of 814, 827, 107, 622, 241
• LCM of 408, 505, 631, 885, 343
• LCM of 694, 268, 581, 788, 937
• LCM of 437, 602, 802, 352, 559

1. What is the LCM of 305, 430, 749, 720, 230?

Answer: LCM of 305, 430, 749, 720, 230 is 32534223120.

2. How to calculate the LCM of 305, 430, 749, 720, 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 305, 430, 749, 720, 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}.