Given numbers are 78,17,644

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

The LCM of 78,17,644 is 426972.

Find LCM of 78,17,644 with Prime Factorization

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

2 x 39 x 17 x 322 = 426972

Therefore, the lowest common multiple of 78,17,644 is 426972.

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.

78 x 17 x 644 = 853944

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.

78 : 1, 2, 3, 6, 13, 26, 39, 78

17 : 1, 17

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 78,17,644, is 1.

Now, the common factors can be found like this.

78:2x 3x 13

17:17

644:2x 2x 7x 23

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 = 853944/(1x2)

LCM = 853944/2

LCM = 426972

Thus, we can understand that the LCM of 78,17,644 is 426972.

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

• LCM of 13, 90, 166
• LCM of 17, 92, 655
• LCM of 29, 36, 498
• LCM of 85, 77, 108
• LCM of 41, 59, 732

1. What is the LCM of 78, 17, 644?

Answer: LCM of 78, 17, 644 is 426972.

2. How to calculate the LCM of 78, 17, 644?

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 78, 17, 644.

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}.