Given numbers are 77,75,315

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

The LCM of 77,75,315 is 17325.

Find LCM of 77,75,315 with Prime Factorization

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

3 x 5 x 7 x 11 x 5 x 3 = 17325

Therefore, the lowest common multiple of 77,75,315 is 17325.

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.

77 x 75 x 315 = 1819125

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.

77 : 1, 7, 11, 77

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

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 77,75,315, is 1.

Now, the common factors can be found like this.

77:7x 11

75:3x 5x 5

315:3x 3x 5x 7

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

3x 5x 7 = 105

Therefore, the value for common factors is 105.

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 = 1819125/(1x105)

LCM = 1819125/105

LCM = 17325

Thus, we can understand that the LCM of 77,75,315 is 17325.

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

• LCM of 23, 33, 437
• LCM of 61, 64, 985
• LCM of 91, 42, 755
• LCM of 95, 14, 108
• LCM of 23, 69, 639

1. What is the LCM of 77, 75, 315?

Answer: LCM of 77, 75, 315 is 17325.

2. How to calculate the LCM of 77, 75, 315?

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 77, 75, 315.

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}.