Given numbers are 69,26,75,97,687

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

The LCM of 69,26,75,97,687 is 996253050.

Find LCM of 69,26,75,97,687 with Prime Factorization

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

3 x 23 x 26 x 25 x 97 x 229 = 996253050

Therefore, the lowest common multiple of 69,26,75,97,687 is 996253050.

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.

69 x 26 x 75 x 97 x 687 = 8966277450

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.

69 : 1, 3, 23, 69

26 : 1, 2, 13, 26

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

97 : 1, 97

687 : 1, 3, 229, 687

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 69,26,75,97,687, is 1.

Now, the common factors can be found like this.

69:3x 23

26:2x 13

75:3x 5x 5

97:97

687:3x 229

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 8966277450/(1x9)

LCM = 8966277450/9

LCM = 996253050

Thus, we can understand that the LCM of 69,26,75,97,687 is 996253050.

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

• LCM of 63, 58, 55, 61, 856
• LCM of 14, 15, 72, 71, 925
• LCM of 16, 28, 13, 56, 933
• LCM of 94, 67, 44, 33, 773
• LCM of 21, 45, 77, 97, 210

1. What is the LCM of 69, 26, 75, 97, 687?

Answer: LCM of 69, 26, 75, 97, 687 is 996253050.

2. How to calculate the LCM of 69, 26, 75, 97, 687?

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 69, 26, 75, 97, 687.

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}.