Given numbers are 7,177,214,268

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

The LCM of 7,177,214,268 is 35529564.

Find LCM of 7,177,214,268 with Prime Factorization

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

2 x 7 x 177 x 107 x 134 = 35529564

Therefore, the lowest common multiple of 7,177,214,268 is 35529564.

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.

7 x 177 x 214 x 268 = 71059128

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.

7 : 1, 7

177 : 1, 3, 59, 177

214 : 1, 2, 107, 214

268 : 1, 2, 4, 67, 134, 268

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7,177,214,268, is 1.

Now, the common factors can be found like this.

7:7

177:3x 59

214:2x 107

268:2x 2x 67

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

2 = 2

Therefore, the value for common factors is 2.

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 = 71059128/(1x2)

LCM = 71059128/2

LCM = 35529564

Thus, we can understand that the LCM of 7,177,214,268 is 35529564.

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

• LCM of 3, 822, 572, 238
• LCM of 4, 908, 806, 173
• LCM of 1, 863, 120, 104
• LCM of 2, 287, 587, 498
• LCM of 8, 201, 548, 856

1. What is the LCM of 7, 177, 214, 268?

Answer: LCM of 7, 177, 214, 268 is 35529564.

2. How to calculate the LCM of 7, 177, 214, 268?

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 7, 177, 214, 268.

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}.