Given numbers are 248,412,193,268

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

The LCM of 248,412,193,268 is 330309464.

Find LCM of 248,412,193,268 with Prime Factorization

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

2 x 2 x 62 x 103 x 193 x 67 = 330309464

Therefore, the lowest common multiple of 248,412,193,268 is 330309464.

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.

248 x 412 x 193 x 268 = 5284951424

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.

248 : 1, 2, 4, 8, 31, 62, 124, 248

412 : 1, 2, 4, 103, 206, 412

193 : 1, 193

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 248,412,193,268, is 1.

Now, the common factors can be found like this.

248:2x 2x 2x 31

412:2x 2x 103

193:193

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.

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 = 5284951424/(1x16)

LCM = 5284951424/16

LCM = 330309464

Thus, we can understand that the LCM of 248,412,193,268 is 330309464.

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

• LCM of 153, 788, 335, 218
• LCM of 664, 829, 838, 786
• LCM of 373, 240, 448, 825
• LCM of 507, 528, 176, 818
• LCM of 681, 868, 983, 775

1. What is the LCM of 248, 412, 193, 268?

Answer: LCM of 248, 412, 193, 268 is 330309464.

2. How to calculate the LCM of 248, 412, 193, 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 248, 412, 193, 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}.