Given numbers are 509,471,785,388

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

The LCM of 509,471,785,388 is 465093660.

Find LCM of 509,471,785,388 with Prime Factorization

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

157 x 509 x 3 x 5 x 388 = 465093660

Therefore, the lowest common multiple of 509,471,785,388 is 465093660.

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.

509 x 471 x 785 x 388 = 73019704620

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.

509 : 1, 509

471 : 1, 3, 157, 471

785 : 1, 5, 157, 785

388 : 1, 2, 4, 97, 194, 388

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,471,785,388, is 1.

Now, the common factors can be found like this.

509:509

471:3x 157

785:5x 157

388:2x 2x 97

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

157 = 157

Therefore, the value for common factors is 157.

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 = 73019704620/(1x157)

LCM = 73019704620/157

LCM = 465093660

Thus, we can understand that the LCM of 509,471,785,388 is 465093660.

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

• LCM of 465, 761, 622, 447
• LCM of 233, 715, 652, 919
• LCM of 922, 722, 787, 334
• LCM of 863, 404, 759, 270
• LCM of 624, 991, 927, 491

1. What is the LCM of 509, 471, 785, 388?

Answer: LCM of 509, 471, 785, 388 is 465093660.

2. How to calculate the LCM of 509, 471, 785, 388?

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 509, 471, 785, 388.

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}.