Given numbers are 512,26,977

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

The LCM of 512,26,977 is 6502912.

Find LCM of 512,26,977 with Prime Factorization

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

2 x 256 x 13 x 977 = 6502912

Therefore, the lowest common multiple of 512,26,977 is 6502912.

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.

512 x 26 x 977 = 13005824

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.

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

26 : 1, 2, 13, 26

977 : 1, 977

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,26,977, is 1.

Now, the common factors can be found like this.

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

26:2x 13

977:977

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 13005824/(1x2)

LCM = 13005824/2

LCM = 6502912

Thus, we can understand that the LCM of 512,26,977 is 6502912.

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

• LCM of 876, 69, 480
• LCM of 965, 81, 344
• LCM of 668, 49, 157
• LCM of 190, 35, 213
• LCM of 295, 71, 925

1. What is the LCM of 512, 26, 977?

Answer: LCM of 512, 26, 977 is 6502912.

2. How to calculate the LCM of 512, 26, 977?

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 512, 26, 977.

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}.