Given numbers are 404,18,978

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

The LCM of 404,18,978 is 592668.

Find LCM of 404,18,978 with Prime Factorization

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

2 x 3 x 202 x 3 x 163 = 592668

Therefore, the lowest common multiple of 404,18,978 is 592668.

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.

404 x 18 x 978 = 7112016

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.

404 : 1, 2, 4, 101, 202, 404

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

978 : 1, 2, 3, 6, 163, 326, 489, 978

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 404,18,978, is 2.

Now, the common factors can be found like this.

404:2x 2x 101

18:2x 3x 3

978:2x 3x 163

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 7112016/(2x6)

LCM = 7112016/12

LCM = 592668

Thus, we can understand that the LCM of 404,18,978 is 592668.

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

• LCM of 904, 33, 624
• LCM of 997, 13, 369
• LCM of 279, 76, 702
• LCM of 704, 21, 117
• LCM of 570, 33, 683

1. What is the LCM of 404, 18, 978?

Answer: LCM of 404, 18, 978 is 592668.

2. How to calculate the LCM of 404, 18, 978?

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 404, 18, 978.

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}.