Given numbers are 504,250,235,290,115

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

The LCM of 504,250,235,290,115 is 1974987000.

Find LCM of 504,250,235,290,115 with Prime Factorization

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

2 x 5 x 252 x 25 x 47 x 29 x 23 = 1974987000

Therefore, the lowest common multiple of 504,250,235,290,115 is 1974987000.

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 250 x 235 x 290 x 115 = 987493500000

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

250 : 1, 2, 5, 10, 25, 50, 125, 250

235 : 1, 5, 47, 235

290 : 1, 2, 5, 10, 29, 58, 145, 290

115 : 1, 5, 23, 115

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,250,235,290,115, is 1.

Now, the common factors can be found like this.

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

250:2x 5x 5x 5

235:5x 47

290:2x 5x 29

115:5x 23

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 5x 5x 5 = 500

Therefore, the value for common factors is 500.

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 = 987493500000/(1x500)

LCM = 987493500000/500

LCM = 1974987000

Thus, we can understand that the LCM of 504,250,235,290,115 is 1974987000.

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

• LCM of 255, 322, 684, 169, 730
• LCM of 420, 335, 657, 547, 553
• LCM of 581, 130, 650, 912, 976
• LCM of 774, 680, 869, 548, 662
• LCM of 567, 199, 814, 534, 339

1. What is the LCM of 504, 250, 235, 290, 115?

Answer: LCM of 504, 250, 235, 290, 115 is 1974987000.

2. How to calculate the LCM of 504, 250, 235, 290, 115?

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, 250, 235, 290, 115.

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}.