Given numbers are 509,317,508,992,143

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

The LCM of 509,317,508,992,143 is 2906889178336.

Find LCM of 509,317,508,992,143 with Prime Factorization

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

2 x 2 x 509 x 317 x 127 x 248 x 143 = 2906889178336

Therefore, the lowest common multiple of 509,317,508,992,143 is 2906889178336.

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 317 x 508 x 992 x 143 = 11627556713344

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

317 : 1, 317

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

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

143 : 1, 11, 13, 143

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,317,508,992,143, is 1.

Now, the common factors can be found like this.

509:509

317:317

508:2x 2x 127

992:2x 2x 2x 2x 2x 31

143:11x 13

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 11627556713344/(1x4)

LCM = 11627556713344/4

LCM = 2906889178336

Thus, we can understand that the LCM of 509,317,508,992,143 is 2906889178336.

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

• LCM of 483, 962, 377, 457, 268
• LCM of 570, 757, 623, 205, 523
• LCM of 760, 681, 661, 425, 907
• LCM of 456, 966, 102, 986, 743
• LCM of 210, 194, 141, 140, 759

1. What is the LCM of 509, 317, 508, 992, 143?

Answer: LCM of 509, 317, 508, 992, 143 is 2906889178336.

2. How to calculate the LCM of 509, 317, 508, 992, 143?

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, 317, 508, 992, 143.

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}.