Given numbers are 175,180,235,307,115

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

The LCM of 175,180,235,307,115 is 2090762100.

Find LCM of 175,180,235,307,115 with Prime Factorization

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

5 x 35 x 36 x 47 x 307 x 23 = 2090762100

Therefore, the lowest common multiple of 175,180,235,307,115 is 2090762100.

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.

175 x 180 x 235 x 307 x 115 = 261345262500

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.

175 : 1, 5, 7, 25, 35, 175

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

235 : 1, 5, 47, 235

307 : 1, 307

115 : 1, 5, 23, 115

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 175,180,235,307,115, is 1.

Now, the common factors can be found like this.

175:5x 5x 7

180:2x 2x 3x 3x 5

235:5x 47

307:307

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.

5x 5x 5 = 125

Therefore, the value for common factors is 125.

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 = 261345262500/(1x125)

LCM = 261345262500/125

LCM = 2090762100

Thus, we can understand that the LCM of 175,180,235,307,115 is 2090762100.

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

• LCM of 707, 818, 109, 241, 631
• LCM of 297, 649, 878, 116, 545
• LCM of 677, 130, 370, 693, 232
• LCM of 379, 246, 791, 665, 673
• LCM of 263, 502, 580, 358, 246

1. What is the LCM of 175, 180, 235, 307, 115?

Answer: LCM of 175, 180, 235, 307, 115 is 2090762100.

2. How to calculate the LCM of 175, 180, 235, 307, 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 175, 180, 235, 307, 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}.