Given numbers are 745,576,183,723,750

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

The LCM of 745,576,183,723,750 is 157712328000.

Find LCM of 745,576,183,723,750 with Prime Factorization

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

2 x 3 x 5 x 149 x 96 x 61 x 241 x 25 = 157712328000

Therefore, the lowest common multiple of 745,576,183,723,750 is 157712328000.

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.

745 x 576 x 183 x 723 x 750 = 42582328560000

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.

745 : 1, 5, 149, 745

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

183 : 1, 3, 61, 183

723 : 1, 3, 241, 723

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,576,183,723,750, is 1.

Now, the common factors can be found like this.

745:5x 149

576:2x 2x 2x 2x 2x 2x 3x 3

183:3x 61

723:3x 241

750:2x 3x 5x 5x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 5 = 270

Therefore, the value for common factors is 270.

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 = 42582328560000/(1x270)

LCM = 42582328560000/270

LCM = 157712328000

Thus, we can understand that the LCM of 745,576,183,723,750 is 157712328000.

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

• LCM of 215, 687, 849, 682, 100
• LCM of 996, 140, 682, 797, 534
• LCM of 851, 349, 320, 473, 426
• LCM of 794, 619, 720, 531, 947
• LCM of 481, 152, 420, 197, 323

1. What is the LCM of 745, 576, 183, 723, 750?

Answer: LCM of 745, 576, 183, 723, 750 is 157712328000.

2. How to calculate the LCM of 745, 576, 183, 723, 750?

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 745, 576, 183, 723, 750.

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}.