Given numbers are 976,128,409,584

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

The LCM of 976,128,409,584 is 233123456.

Find LCM of 976,128,409,584 with Prime Factorization

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

2 x 2 x 2 x 2 x 61 x 8 x 409 x 73 = 233123456

Therefore, the lowest common multiple of 976,128,409,584 is 233123456.

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.

976 x 128 x 409 x 584 = 29839802368

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.

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

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

409 : 1, 409

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 976,128,409,584, is 1.

Now, the common factors can be found like this.

976:2x 2x 2x 2x 61

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

409:409

584:2x 2x 2x 73

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 2 = 128

Therefore, the value for common factors is 128.

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 = 29839802368/(1x128)

LCM = 29839802368/128

LCM = 233123456

Thus, we can understand that the LCM of 976,128,409,584 is 233123456.

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

• LCM of 683, 661, 589, 740
• LCM of 415, 387, 653, 653
• LCM of 208, 694, 362, 184
• LCM of 196, 900, 886, 890
• LCM of 604, 369, 396, 393

1. What is the LCM of 976, 128, 409, 584?

Answer: LCM of 976, 128, 409, 584 is 233123456.

2. How to calculate the LCM of 976, 128, 409, 584?

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 976, 128, 409, 584.

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}.