Given numbers are 10,67,75,77,355

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

The LCM of 10,67,75,77,355 is 54943350.

Find LCM of 10,67,75,77,355 with Prime Factorization

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

5 x 2 x 67 x 15 x 77 x 71 = 54943350

Therefore, the lowest common multiple of 10,67,75,77,355 is 54943350.

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.

10 x 67 x 75 x 77 x 355 = 1373583750

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.

10 : 1, 2, 5, 10

67 : 1, 67

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

77 : 1, 7, 11, 77

355 : 1, 5, 71, 355

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 10,67,75,77,355, is 1.

Now, the common factors can be found like this.

10:2x 5

67:67

75:3x 5x 5

77:7x 11

355:5x 71

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 1373583750/(1x25)

LCM = 1373583750/25

LCM = 54943350

Thus, we can understand that the LCM of 10,67,75,77,355 is 54943350.

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

• LCM of 98, 28, 91, 48, 706
• LCM of 55, 26, 23, 80, 548
• LCM of 68, 65, 97, 32, 952
• LCM of 71, 80, 32, 78, 750
• LCM of 87, 52, 35, 87, 117

1. What is the LCM of 10, 67, 75, 77, 355?

Answer: LCM of 10, 67, 75, 77, 355 is 54943350.

2. How to calculate the LCM of 10, 67, 75, 77, 355?

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 10, 67, 75, 77, 355.

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}.