Given numbers are 261,51,428

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

The LCM of 261,51,428 is 1899036.

Find LCM of 261,51,428 with Prime Factorization

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

3 x 87 x 17 x 428 = 1899036

Therefore, the lowest common multiple of 261,51,428 is 1899036.

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.

261 x 51 x 428 = 5697108

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.

261 : 1, 3, 9, 29, 87, 261

51 : 1, 3, 17, 51

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,51,428, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

51:3x 17

428:2x 2x 107

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

3 = 3

Therefore, the value for common factors is 3.

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 = 5697108/(1x3)

LCM = 5697108/3

LCM = 1899036

Thus, we can understand that the LCM of 261,51,428 is 1899036.

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

• LCM of 444, 72, 627
• LCM of 440, 24, 802
• LCM of 825, 15, 222
• LCM of 751, 89, 835
• LCM of 348, 19, 908

1. What is the LCM of 261, 51, 428?

Answer: LCM of 261, 51, 428 is 1899036.

2. How to calculate the LCM of 261, 51, 428?

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 261, 51, 428.

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}.