Given numbers are 466,256,128,402

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

The LCM of 466,256,128,402 is 11989248.

Find LCM of 466,256,128,402 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 233 x 1 x 2 x 201 = 11989248

Therefore, the lowest common multiple of 466,256,128,402 is 11989248.

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.

466 x 256 x 128 x 402 = 6138494976

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.

466 : 1, 2, 233, 466

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

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

402 : 1, 2, 3, 6, 67, 134, 201, 402

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,256,128,402, is 2.

Now, the common factors can be found like this.

466:2x 233

256:2x 2x 2x 2x 2x 2x 2x 2

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

402:2x 3x 67

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 2 = 256

Therefore, the value for common factors is 256.

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 = 6138494976/(2x256)

LCM = 6138494976/512

LCM = 11989248

Thus, we can understand that the LCM of 466,256,128,402 is 11989248.

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

• LCM of 456, 417, 672, 310
• LCM of 712, 529, 964, 247
• LCM of 859, 187, 697, 300
• LCM of 949, 755, 224, 676
• LCM of 898, 707, 597, 194

1. What is the LCM of 466, 256, 128, 402?

Answer: LCM of 466, 256, 128, 402 is 11989248.

2. How to calculate the LCM of 466, 256, 128, 402?

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 466, 256, 128, 402.

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}.