Given numbers are 509,176,131,508,428

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

The LCM of 509,176,131,508,428 is 159473763856.

Find LCM of 509,176,131,508,428 with Prime Factorization

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

2 x 2 x 509 x 44 x 131 x 127 x 107 = 159473763856

Therefore, the lowest common multiple of 509,176,131,508,428 is 159473763856.

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 176 x 131 x 508 x 428 = 2551580221696

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

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

131 : 1, 131

508 : 1, 2, 4, 127, 254, 508

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,176,131,508,428, is 1.

Now, the common factors can be found like this.

509:509

176:2x 2x 2x 2x 11

131:131

508:2x 2x 127

428:2x 2x 107

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 2 = 16

Therefore, the value for common factors is 16.

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 = 2551580221696/(1x16)

LCM = 2551580221696/16

LCM = 159473763856

Thus, we can understand that the LCM of 509,176,131,508,428 is 159473763856.

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

• LCM of 989, 550, 901, 310, 312
• LCM of 124, 664, 445, 566, 765
• LCM of 312, 484, 865, 942, 751
• LCM of 534, 705, 198, 234, 640
• LCM of 255, 269, 867, 894, 247

1. What is the LCM of 509, 176, 131, 508, 428?

Answer: LCM of 509, 176, 131, 508, 428 is 159473763856.

2. How to calculate the LCM of 509, 176, 131, 508, 428?

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, 176, 131, 508, 428.

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}.