Given numbers are 692,124,268,286

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

The LCM of 692,124,268,286 is 205531612.

Find LCM of 692,124,268,286 with Prime Factorization

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

2 x 2 x 173 x 31 x 67 x 143 = 205531612

Therefore, the lowest common multiple of 692,124,268,286 is 205531612.

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.

692 x 124 x 268 x 286 = 6577011584

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.

692 : 1, 2, 4, 173, 346, 692

124 : 1, 2, 4, 31, 62, 124

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

286 : 1, 2, 11, 13, 22, 26, 143, 286

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,124,268,286, is 2.

Now, the common factors can be found like this.

692:2x 2x 173

124:2x 2x 31

268:2x 2x 67

286:2x 11x 13

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 6577011584/(2x16)

LCM = 6577011584/32

LCM = 205531612

Thus, we can understand that the LCM of 692,124,268,286 is 205531612.

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

• LCM of 420, 408, 482, 240
• LCM of 104, 401, 366, 402
• LCM of 645, 958, 472, 292
• LCM of 313, 863, 275, 612
• LCM of 214, 808, 139, 522

1. What is the LCM of 692, 124, 268, 286?

Answer: LCM of 692, 124, 268, 286 is 205531612.

2. How to calculate the LCM of 692, 124, 268, 286?

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 692, 124, 268, 286.

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}.