Given numbers are 76,85,969

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

The LCM of 76,85,969 is 19380.

Find LCM of 76,85,969 with Prime Factorization

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

17 x 19 x 4 x 5 x 3 = 19380

Therefore, the lowest common multiple of 76,85,969 is 19380.

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 85 x 969 = 6259740

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

85 : 1, 5, 17, 85

969 : 1, 3, 17, 19, 51, 57, 323, 969

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 76,85,969, is 1.

Now, the common factors can be found like this.

76:2x 2x 19

85:5x 17

969:3x 17x 19

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

17x 19 = 323

Therefore, the value for common factors is 323.

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 = 6259740/(1x323)

LCM = 6259740/323

LCM = 19380

Thus, we can understand that the LCM of 76,85,969 is 19380.

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

• LCM of 87, 60, 603
• LCM of 50, 35, 139
• LCM of 23, 34, 701
• LCM of 91, 85, 238
• LCM of 82, 66, 307

1. What is the LCM of 76, 85, 969?

Answer: LCM of 76, 85, 969 is 19380.

2. How to calculate the LCM of 76, 85, 969?

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, 85, 969.

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}.