Given numbers are 224,512,128,452

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

The LCM of 224,512,128,452 is 404992.

Find LCM of 224,512,128,452 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 4 x 1 x 113 = 404992

Therefore, the lowest common multiple of 224,512,128,452 is 404992.

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 512 x 128 x 452 = 6635388928

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

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

128 : 1, 2, 4, 8, 16, 32, 64, 128

452 : 1, 2, 4, 113, 226, 452

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,512,128,452, is 4.

Now, the common factors can be found like this.

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

512:2x 2x 2x 2x 2x 2x 2x 2x 2

128:2x 2x 2x 2x 2x 2x 2

452:2x 2x 113

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 2x 2x 2x 2x 2x 2x 2x 2x 2x 2 = 4096

Therefore, the value for common factors is 4096.

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 = 6635388928/(4x4096)

LCM = 6635388928/16384

LCM = 404992

Thus, we can understand that the LCM of 224,512,128,452 is 404992.

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

• LCM of 763, 249, 586, 573
• LCM of 215, 750, 650, 469
• LCM of 451, 342, 971, 654
• LCM of 240, 672, 405, 618
• LCM of 435, 101, 316, 262

1. What is the LCM of 224, 512, 128, 452?

Answer: LCM of 224, 512, 128, 452 is 404992.

2. How to calculate the LCM of 224, 512, 128, 452?

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, 512, 128, 452.

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}.