Given numbers are 506,409,128,703,172

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

The LCM of 506,409,128,703,172 is 400384797824.

Find LCM of 506,409,128,703,172 with Prime Factorization

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

2 x 2 x 253 x 409 x 32 x 703 x 43 = 400384797824

Therefore, the lowest common multiple of 506,409,128,703,172 is 400384797824.

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.

506 x 409 x 128 x 703 x 172 = 3203078382592

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.

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

409 : 1, 409

128 : 1, 2, 4, 8, 16, 32, 64, 128

703 : 1, 19, 37, 703

172 : 1, 2, 4, 43, 86, 172

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,409,128,703,172, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

409:409

128:2x 2x 2x 2x 2x 2x 2

703:19x 37

172:2x 2x 43

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 2 = 8

Therefore, the value for common factors is 8.

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 = 3203078382592/(1x8)

LCM = 3203078382592/8

LCM = 400384797824

Thus, we can understand that the LCM of 506,409,128,703,172 is 400384797824.

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

• LCM of 540, 370, 379, 495, 520
• LCM of 558, 606, 166, 774, 488
• LCM of 651, 959, 821, 389, 569
• LCM of 464, 178, 589, 194, 473
• LCM of 723, 304, 911, 957, 414

1. What is the LCM of 506, 409, 128, 703, 172?

Answer: LCM of 506, 409, 128, 703, 172 is 400384797824.

2. How to calculate the LCM of 506, 409, 128, 703, 172?

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 506, 409, 128, 703, 172.

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}.