Given numbers are 325,605,120,689,745

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

The LCM of 325,605,120,689,745 is 7453188600.

Find LCM of 325,605,120,689,745 with Prime Factorization

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

5 x 13 x 5 x 121 x 24 x 53 x 149 = 7453188600

Therefore, the lowest common multiple of 325,605,120,689,745 is 7453188600.

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.

325 x 605 x 120 x 689 x 745 = 12111431475000

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.

325 : 1, 5, 13, 25, 65, 325

605 : 1, 5, 11, 55, 121, 605

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

689 : 1, 13, 53, 689

745 : 1, 5, 149, 745

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 325,605,120,689,745, is 1.

Now, the common factors can be found like this.

325:5x 5x 13

605:5x 11x 11

120:2x 2x 2x 3x 5

689:13x 53

745:5x 149

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

5x 5x 5x 13 = 1625

Therefore, the value for common factors is 1625.

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 = 12111431475000/(1x1625)

LCM = 12111431475000/1625

LCM = 7453188600

Thus, we can understand that the LCM of 325,605,120,689,745 is 7453188600.

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

• LCM of 573, 449, 465, 767, 229
• LCM of 164, 901, 312, 918, 320
• LCM of 607, 729, 880, 270, 143
• LCM of 597, 131, 829, 710, 664
• LCM of 930, 395, 507, 556, 917

1. What is the LCM of 325, 605, 120, 689, 745?

Answer: LCM of 325, 605, 120, 689, 745 is 7453188600.

2. How to calculate the LCM of 325, 605, 120, 689, 745?

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 325, 605, 120, 689, 745.

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}.