Given numbers are 987,30,697

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

The LCM of 987,30,697 is 6879390.

Find LCM of 987,30,697 with Prime Factorization

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

3 x 329 x 10 x 697 = 6879390

Therefore, the lowest common multiple of 987,30,697 is 6879390.

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.

987 x 30 x 697 = 20638170

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.

987 : 1, 3, 7, 21, 47, 141, 329, 987

30 : 1, 2, 3, 5, 6, 10, 15, 30

697 : 1, 17, 41, 697

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,30,697, is 1.

Now, the common factors can be found like this.

987:3x 7x 47

30:2x 3x 5

697:17x 41

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 = 20638170/(1x3)

LCM = 20638170/3

LCM = 6879390

Thus, we can understand that the LCM of 987,30,697 is 6879390.

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

• LCM of 415, 38, 525
• LCM of 265, 15, 562
• LCM of 207, 47, 540
• LCM of 694, 82, 352
• LCM of 175, 68, 140

1. What is the LCM of 987, 30, 697?

Answer: LCM of 987, 30, 697 is 6879390.

2. How to calculate the LCM of 987, 30, 697?

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 987, 30, 697.

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}.