Given numbers are 279,18,974

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

The LCM of 279,18,974 is 271746.

Find LCM of 279,18,974 with Prime Factorization

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

2 x 3 x 3 x 31 x 1 x 487 = 271746

Therefore, the lowest common multiple of 279,18,974 is 271746.

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.

279 x 18 x 974 = 4891428

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.

279 : 1, 3, 9, 31, 93, 279

18 : 1, 2, 3, 6, 9, 18

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,18,974, is 1.

Now, the common factors can be found like this.

279:3x 3x 31

18:2x 3x 3

974:2x 487

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 4891428/(1x18)

LCM = 4891428/18

LCM = 271746

Thus, we can understand that the LCM of 279,18,974 is 271746.

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

• LCM of 332, 30, 429
• LCM of 140, 81, 455
• LCM of 121, 23, 963
• LCM of 953, 27, 223
• LCM of 381, 45, 249

1. What is the LCM of 279, 18, 974?

Answer: LCM of 279, 18, 974 is 271746.

2. How to calculate the LCM of 279, 18, 974?

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 279, 18, 974.

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}.