Given numbers are 504,282,835,939,313

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

The LCM of 504,282,835,939,313 is 6190977240.

Find LCM of 504,282,835,939,313 with Prime Factorization

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

2 x 3 x 313 x 84 x 47 x 835 x 1 x 1 = 6190977240

Therefore, the lowest common multiple of 504,282,835,939,313 is 6190977240.

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.

504 x 282 x 835 x 939 x 313 = 34879965770160

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

282 : 1, 2, 3, 6, 47, 94, 141, 282

835 : 1, 5, 167, 835

939 : 1, 3, 313, 939

313 : 1, 313

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,282,835,939,313, is 1.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

282:2x 3x 47

835:5x 167

939:3x 313

313:313

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

2x 3x 3x 313 = 5634

Therefore, the value for common factors is 5634.

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 = 34879965770160/(1x5634)

LCM = 34879965770160/5634

LCM = 6190977240

Thus, we can understand that the LCM of 504,282,835,939,313 is 6190977240.

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

• LCM of 296, 688, 686, 435, 508
• LCM of 888, 933, 143, 234, 793
• LCM of 756, 296, 457, 431, 789
• LCM of 801, 168, 991, 561, 775
• LCM of 921, 761, 941, 526, 629

1. What is the LCM of 504, 282, 835, 939, 313?

Answer: LCM of 504, 282, 835, 939, 313 is 6190977240.

2. How to calculate the LCM of 504, 282, 835, 939, 313?

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 504, 282, 835, 939, 313.

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}.