Given numbers are 227,177,380,414

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

The LCM of 227,177,380,414 is 1053493380.

Find LCM of 227,177,380,414 with Prime Factorization

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

2 x 3 x 227 x 59 x 190 x 69 = 1053493380

Therefore, the lowest common multiple of 227,177,380,414 is 1053493380.

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.

227 x 177 x 380 x 414 = 6320960280

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.

227 : 1, 227

177 : 1, 3, 59, 177

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,177,380,414, is 1.

Now, the common factors can be found like this.

227:227

177:3x 59

380:2x 2x 5x 19

414:2x 3x 3x 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 3 = 6

Therefore, the value for common factors is 6.

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 = 6320960280/(1x6)

LCM = 6320960280/6

LCM = 1053493380

Thus, we can understand that the LCM of 227,177,380,414 is 1053493380.

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

• LCM of 998, 204, 411, 235
• LCM of 427, 942, 851, 754
• LCM of 708, 723, 858, 541
• LCM of 414, 241, 209, 278
• LCM of 787, 262, 947, 255

1. What is the LCM of 227, 177, 380, 414?

Answer: LCM of 227, 177, 380, 414 is 1053493380.

2. How to calculate the LCM of 227, 177, 380, 414?

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 227, 177, 380, 414.

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}.