Given numbers are 732,972,303,525,506

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

The LCM of 732,972,303,525,506 is 265140483300.

Find LCM of 732,972,303,525,506 with Prime Factorization

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

2 x 2 x 3 x 61 x 81 x 101 x 175 x 253 = 265140483300

Therefore, the lowest common multiple of 732,972,303,525,506 is 265140483300.

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.

732 x 972 x 303 x 525 x 506 = 57270344392800

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.

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

303 : 1, 3, 101, 303

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,972,303,525,506, is 1.

Now, the common factors can be found like this.

732:2x 2x 3x 61

972:2x 2x 3x 3x 3x 3x 3

303:3x 101

525:3x 5x 5x 7

506:2x 11x 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 2x 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 57270344392800/(1x216)

LCM = 57270344392800/216

LCM = 265140483300

Thus, we can understand that the LCM of 732,972,303,525,506 is 265140483300.

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

• LCM of 174, 888, 125, 720, 562
• LCM of 315, 614, 929, 389, 893
• LCM of 622, 849, 648, 900, 501
• LCM of 987, 265, 723, 491, 416
• LCM of 962, 388, 280, 237, 395

1. What is the LCM of 732, 972, 303, 525, 506?

Answer: LCM of 732, 972, 303, 525, 506 is 265140483300.

2. How to calculate the LCM of 732, 972, 303, 525, 506?

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 732, 972, 303, 525, 506.

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}.