Given numbers are 424,509,302,523

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

The LCM of 424,509,302,523 is 17043636968.

Find LCM of 424,509,302,523 with Prime Factorization

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

2 x 212 x 509 x 151 x 523 = 17043636968

Therefore, the lowest common multiple of 424,509,302,523 is 17043636968.

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.

424 x 509 x 302 x 523 = 34087273936

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.

424 : 1, 2, 4, 8, 53, 106, 212, 424

509 : 1, 509

302 : 1, 2, 151, 302

523 : 1, 523

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,509,302,523, is 1.

Now, the common factors can be found like this.

424:2x 2x 2x 53

509:509

302:2x 151

523:523

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

2 = 2

Therefore, the value for common factors is 2.

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 = 34087273936/(1x2)

LCM = 34087273936/2

LCM = 17043636968

Thus, we can understand that the LCM of 424,509,302,523 is 17043636968.

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

• LCM of 818, 906, 988, 209
• LCM of 511, 884, 649, 300
• LCM of 775, 570, 434, 339
• LCM of 816, 372, 949, 405
• LCM of 644, 820, 539, 868

1. What is the LCM of 424, 509, 302, 523?

Answer: LCM of 424, 509, 302, 523 is 17043636968.

2. How to calculate the LCM of 424, 509, 302, 523?

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 424, 509, 302, 523.

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}.