Given numbers are 212,118,224,449

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

The LCM of 212,118,224,449 is 314501152.

Find LCM of 212,118,224,449 with Prime Factorization

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

2 x 2 x 53 x 59 x 56 x 449 = 314501152

Therefore, the lowest common multiple of 212,118,224,449 is 314501152.

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.

212 x 118 x 224 x 449 = 2516009216

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.

212 : 1, 2, 4, 53, 106, 212

118 : 1, 2, 59, 118

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

449 : 1, 449

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,118,224,449, is 1.

Now, the common factors can be found like this.

212:2x 2x 53

118:2x 59

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

449:449

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 2 = 8

Therefore, the value for common factors is 8.

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 = 2516009216/(1x8)

LCM = 2516009216/8

LCM = 314501152

Thus, we can understand that the LCM of 212,118,224,449 is 314501152.

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

• LCM of 702, 235, 475, 922
• LCM of 704, 744, 241, 877
• LCM of 447, 376, 354, 417
• LCM of 769, 342, 908, 404
• LCM of 867, 788, 127, 981

1. What is the LCM of 212, 118, 224, 449?

Answer: LCM of 212, 118, 224, 449 is 314501152.

2. How to calculate the LCM of 212, 118, 224, 449?

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 212, 118, 224, 449.

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}.