Given numbers are 509,302,120,563

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

The LCM of 509,302,120,563 is 5192594040.

Find LCM of 509,302,120,563 with Prime Factorization

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

2 x 509 x 151 x 60 x 563 = 5192594040

Therefore, the lowest common multiple of 509,302,120,563 is 5192594040.

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 302 x 120 x 563 = 10385188080

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

302 : 1, 2, 151, 302

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

563 : 1, 563

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,302,120,563, is 1.

Now, the common factors can be found like this.

509:509

302:2x 151

120:2x 2x 2x 3x 5

563:563

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 = 10385188080/(1x2)

LCM = 10385188080/2

LCM = 5192594040

Thus, we can understand that the LCM of 509,302,120,563 is 5192594040.

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

• LCM of 676, 401, 999, 283
• LCM of 384, 521, 252, 113
• LCM of 123, 772, 513, 645
• LCM of 139, 562, 255, 155
• LCM of 969, 719, 159, 621

1. What is the LCM of 509, 302, 120, 563?

Answer: LCM of 509, 302, 120, 563 is 5192594040.

2. How to calculate the LCM of 509, 302, 120, 563?

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, 302, 120, 563.

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}.