Given numbers are 993,69,341

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

The LCM of 993,69,341 is 7788099.

Find LCM of 993,69,341 with Prime Factorization

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

3 x 331 x 23 x 341 = 7788099

Therefore, the lowest common multiple of 993,69,341 is 7788099.

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.

993 x 69 x 341 = 23364297

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.

993 : 1, 3, 331, 993

69 : 1, 3, 23, 69

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,69,341, is 1.

Now, the common factors can be found like this.

993:3x 331

69:3x 23

341:11x 31

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

3 = 3

Therefore, the value for common factors is 3.

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 = 23364297/(1x3)

LCM = 23364297/3

LCM = 7788099

Thus, we can understand that the LCM of 993,69,341 is 7788099.

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

• LCM of 674, 31, 769
• LCM of 630, 98, 978
• LCM of 342, 29, 484
• LCM of 314, 35, 570
• LCM of 258, 64, 131

1. What is the LCM of 993, 69, 341?

Answer: LCM of 993, 69, 341 is 7788099.

2. How to calculate the LCM of 993, 69, 341?

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 993, 69, 341.

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}.