Given numbers are 505,344,167,652,990

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

The LCM of 505,344,167,652,990 is 468154379880.

Find LCM of 505,344,167,652,990 with Prime Factorization

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

2 x 2 x 5 x 101 x 86 x 167 x 163 x 99 = 468154379880

Therefore, the lowest common multiple of 505,344,167,652,990 is 468154379880.

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.

505 x 344 x 167 x 652 x 990 = 18726175195200

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.

505 : 1, 5, 101, 505

344 : 1, 2, 4, 8, 43, 86, 172, 344

167 : 1, 167

652 : 1, 2, 4, 163, 326, 652

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,344,167,652,990, is 1.

Now, the common factors can be found like this.

505:5x 101

344:2x 2x 2x 43

167:167

652:2x 2x 163

990:2x 3x 3x 5x 11

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 5 = 40

Therefore, the value for common factors is 40.

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 = 18726175195200/(1x40)

LCM = 18726175195200/40

LCM = 468154379880

Thus, we can understand that the LCM of 505,344,167,652,990 is 468154379880.

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

• LCM of 893, 918, 899, 127, 291
• LCM of 632, 506, 518, 936, 682
• LCM of 556, 383, 652, 608, 222
• LCM of 974, 785, 734, 559, 949
• LCM of 740, 426, 819, 644, 221

1. What is the LCM of 505, 344, 167, 652, 990?

Answer: LCM of 505, 344, 167, 652, 990 is 468154379880.

2. How to calculate the LCM of 505, 344, 167, 652, 990?

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 505, 344, 167, 652, 990.

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}.