Given numbers are 267,268,662,102

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

The LCM of 267,268,662,102 is 402645612.

Find LCM of 267,268,662,102 with Prime Factorization

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

2 x 3 x 89 x 134 x 331 x 17 = 402645612

Therefore, the lowest common multiple of 267,268,662,102 is 402645612.

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.

267 x 268 x 662 x 102 = 4831747344

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.

267 : 1, 3, 89, 267

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

662 : 1, 2, 331, 662

102 : 1, 2, 3, 6, 17, 34, 51, 102

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,268,662,102, is 1.

Now, the common factors can be found like this.

267:3x 89

268:2x 2x 67

662:2x 331

102:2x 3x 17

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

2x 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 4831747344/(1x12)

LCM = 4831747344/12

LCM = 402645612

Thus, we can understand that the LCM of 267,268,662,102 is 402645612.

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

• LCM of 683, 822, 732, 322
• LCM of 477, 128, 172, 204
• LCM of 370, 714, 993, 783
• LCM of 546, 199, 155, 729
• LCM of 213, 326, 149, 949

1. What is the LCM of 267, 268, 662, 102?

Answer: LCM of 267, 268, 662, 102 is 402645612.

2. How to calculate the LCM of 267, 268, 662, 102?

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 267, 268, 662, 102.

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}.