Given numbers are 76,75,26,217

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

The LCM of 76,75,26,217 is 16079700.

Find LCM of 76,75,26,217 with Prime Factorization

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

2 x 38 x 75 x 13 x 217 = 16079700

Therefore, the lowest common multiple of 76,75,26,217 is 16079700.

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.

76 x 75 x 26 x 217 = 32159400

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.

76 : 1, 2, 4, 19, 38, 76

75 : 1, 3, 5, 15, 25, 75

26 : 1, 2, 13, 26

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 76,75,26,217, is 1.

Now, the common factors can be found like this.

76:2x 2x 19

75:3x 5x 5

26:2x 13

217:7x 31

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 = 32159400/(1x2)

LCM = 32159400/2

LCM = 16079700

Thus, we can understand that the LCM of 76,75,26,217 is 16079700.

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

• LCM of 95, 44, 41, 761
• LCM of 77, 90, 35, 451
• LCM of 13, 84, 37, 349
• LCM of 13, 35, 51, 291
• LCM of 65, 90, 41, 820

1. What is the LCM of 76, 75, 26, 217?

Answer: LCM of 76, 75, 26, 217 is 16079700.

2. How to calculate the LCM of 76, 75, 26, 217?

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 76, 75, 26, 217.

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}.