Given numbers are 978,16,226

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

The LCM of 978,16,226 is 884112.

Find LCM of 978,16,226 with Prime Factorization

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

2 x 489 x 8 x 113 = 884112

Therefore, the lowest common multiple of 978,16,226 is 884112.

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.

978 x 16 x 226 = 3536448

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.

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

16 : 1, 2, 4, 8, 16

226 : 1, 2, 113, 226

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,16,226, is 2.

Now, the common factors can be found like this.

978:2x 3x 163

16:2x 2x 2x 2

226:2x 113

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 = 3536448/(2x2)

LCM = 3536448/4

LCM = 884112

Thus, we can understand that the LCM of 978,16,226 is 884112.

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

• LCM of 161, 65, 219
• LCM of 402, 47, 273
• LCM of 218, 75, 814
• LCM of 240, 21, 415
• LCM of 508, 94, 660

1. What is the LCM of 978, 16, 226?

Answer: LCM of 978, 16, 226 is 884112.

2. How to calculate the LCM of 978, 16, 226?

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 978, 16, 226.

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}.