Given numbers are 145,178,215,305

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

The LCM of 145,178,215,305 is 67699630.

Find LCM of 145,178,215,305 with Prime Factorization

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

5 x 29 x 178 x 43 x 61 = 67699630

Therefore, the lowest common multiple of 145,178,215,305 is 67699630.

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.

145 x 178 x 215 x 305 = 1692490750

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.

145 : 1, 5, 29, 145

178 : 1, 2, 89, 178

215 : 1, 5, 43, 215

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 145,178,215,305, is 1.

Now, the common factors can be found like this.

145:5x 29

178:2x 89

215:5x 43

305:5x 61

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 1692490750/(1x25)

LCM = 1692490750/25

LCM = 67699630

Thus, we can understand that the LCM of 145,178,215,305 is 67699630.

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

• LCM of 762, 185, 141, 312
• LCM of 448, 132, 440, 782
• LCM of 436, 657, 179, 934
• LCM of 626, 170, 313, 902
• LCM of 651, 198, 312, 244

1. What is the LCM of 145, 178, 215, 305?

Answer: LCM of 145, 178, 215, 305 is 67699630.

2. How to calculate the LCM of 145, 178, 215, 305?

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 145, 178, 215, 305.

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}.