Given numbers are 197,230,268,316

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

The LCM of 197,230,268,316 is 479651660.

Find LCM of 197,230,268,316 with Prime Factorization

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

2 x 2 x 197 x 115 x 67 x 79 = 479651660

Therefore, the lowest common multiple of 197,230,268,316 is 479651660.

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.

197 x 230 x 268 x 316 = 3837213280

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.

197 : 1, 197

230 : 1, 2, 5, 10, 23, 46, 115, 230

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

316 : 1, 2, 4, 79, 158, 316

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 197,230,268,316, is 1.

Now, the common factors can be found like this.

197:197

230:2x 5x 23

268:2x 2x 67

316:2x 2x 79

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 2 = 8

Therefore, the value for common factors is 8.

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 = 3837213280/(1x8)

LCM = 3837213280/8

LCM = 479651660

Thus, we can understand that the LCM of 197,230,268,316 is 479651660.

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

• LCM of 188, 785, 823, 981
• LCM of 333, 579, 166, 485
• LCM of 166, 399, 584, 139
• LCM of 398, 629, 169, 267
• LCM of 184, 215, 692, 828

1. What is the LCM of 197, 230, 268, 316?

Answer: LCM of 197, 230, 268, 316 is 479651660.

2. How to calculate the LCM of 197, 230, 268, 316?

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 197, 230, 268, 316.

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}.