Given numbers are 978,49,394

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

The LCM of 978,49,394 is 9440634.

Find LCM of 978,49,394 with Prime Factorization

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

2 x 489 x 49 x 197 = 9440634

Therefore, the lowest common multiple of 978,49,394 is 9440634.

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 49 x 394 = 18881268

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

49 : 1, 7, 49

394 : 1, 2, 197, 394

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,49,394, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

49:7x 7

394:2x 197

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 = 18881268/(1x2)

LCM = 18881268/2

LCM = 9440634

Thus, we can understand that the LCM of 978,49,394 is 9440634.

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

• LCM of 207, 92, 200
• LCM of 622, 38, 842
• LCM of 271, 43, 732
• LCM of 380, 55, 226
• LCM of 478, 42, 806

1. What is the LCM of 978, 49, 394?

Answer: LCM of 978, 49, 394 is 9440634.

2. How to calculate the LCM of 978, 49, 394?

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, 49, 394.

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}.