Given numbers are 738,171,909,207,540

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

The LCM of 738,171,909,207,540 is 977193180.

Find LCM of 738,171,909,207,540 with Prime Factorization

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

2 x 3 x 3 x 41 x 19 x 101 x 23 x 30 = 977193180

Therefore, the lowest common multiple of 738,171,909,207,540 is 977193180.

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.

738 x 171 x 909 x 207 x 540 = 12822728907960

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.

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

171 : 1, 3, 9, 19, 57, 171

909 : 1, 3, 9, 101, 303, 909

207 : 1, 3, 9, 23, 69, 207

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

9 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,171,909,207,540, is 9.

Now, the common factors can be found like this.

738:2x 3x 3x 41

171:3x 3x 19

909:3x 3x 101

207:3x 3x 23

540:2x 2x 3x 3x 3x 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 3x 3x 3 = 1458

Therefore, the value for common factors is 1458.

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 = 12822728907960/(9x1458)

LCM = 12822728907960/13122

LCM = 977193180

Thus, we can understand that the LCM of 738,171,909,207,540 is 977193180.

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

• LCM of 348, 772, 928, 766, 872
• LCM of 508, 868, 446, 622, 562
• LCM of 539, 935, 894, 988, 144
• LCM of 546, 316, 590, 810, 668
• LCM of 801, 923, 197, 294, 773

1. What is the LCM of 738, 171, 909, 207, 540?

Answer: LCM of 738, 171, 909, 207, 540 is 977193180.

2. How to calculate the LCM of 738, 171, 909, 207, 540?

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 738, 171, 909, 207, 540.

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}.