Given numbers are 224,278,417,22

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

The LCM of 224,278,417,22 is 1027488.

Find LCM of 224,278,417,22 with Prime Factorization

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

2 x 139 x 112 x 1 x 3 x 11 = 1027488

Therefore, the lowest common multiple of 224,278,417,22 is 1027488.

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.

224 x 278 x 417 x 22 = 571283328

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.

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

278 : 1, 2, 139, 278

417 : 1, 3, 139, 417

22 : 1, 2, 11, 22

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,278,417,22, is 1.

Now, the common factors can be found like this.

224:2x 2x 2x 2x 2x 7

278:2x 139

417:3x 139

22:2x 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 139 = 556

Therefore, the value for common factors is 556.

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 = 571283328/(1x556)

LCM = 571283328/556

LCM = 1027488

Thus, we can understand that the LCM of 224,278,417,22 is 1027488.

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

• LCM of 152, 954, 131, 76
• LCM of 512, 367, 491, 53
• LCM of 952, 623, 772, 24
• LCM of 353, 148, 834, 58
• LCM of 509, 204, 239, 51

1. What is the LCM of 224, 278, 417, 22?

Answer: LCM of 224, 278, 417, 22 is 1027488.

2. How to calculate the LCM of 224, 278, 417, 22?

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 224, 278, 417, 22.

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}.