Given numbers are 997,35,380

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

The LCM of 997,35,380 is 2652020.

Find LCM of 997,35,380 with Prime Factorization

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

5 x 997 x 7 x 76 = 2652020

Therefore, the lowest common multiple of 997,35,380 is 2652020.

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.

997 x 35 x 380 = 13260100

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.

997 : 1, 997

35 : 1, 5, 7, 35

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 997,35,380, is 1.

Now, the common factors can be found like this.

997:997

35:5x 7

380:2x 2x 5x 19

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

5 = 5

Therefore, the value for common factors is 5.

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 = 13260100/(1x5)

LCM = 13260100/5

LCM = 2652020

Thus, we can understand that the LCM of 997,35,380 is 2652020.

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

• LCM of 589, 23, 919
• LCM of 353, 65, 547
• LCM of 928, 59, 482
• LCM of 499, 40, 172
• LCM of 118, 78, 603

1. What is the LCM of 997, 35, 380?

Answer: LCM of 997, 35, 380 is 2652020.

2. How to calculate the LCM of 997, 35, 380?

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 997, 35, 380.

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}.