Given numbers are 213,237,316

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

The LCM of 213,237,316 is 67308.

Find LCM of 213,237,316 with Prime Factorization

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

3 x 79 x 71 x 1 x 4 = 67308

Therefore, the lowest common multiple of 213,237,316 is 67308.

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.

213 x 237 x 316 = 15951996

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.

213 : 1, 3, 71, 213

237 : 1, 3, 79, 237

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 213,237,316, is 1.

Now, the common factors can be found like this.

213:3x 71

237:3x 79

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.

3x 79 = 237

Therefore, the value for common factors is 237.

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 = 15951996/(1x237)

LCM = 15951996/237

LCM = 67308

Thus, we can understand that the LCM of 213,237,316 is 67308.

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

• LCM of 408, 261, 302
• LCM of 178, 400, 287
• LCM of 983, 384, 607
• LCM of 704, 206, 401
• LCM of 902, 381, 625

1. What is the LCM of 213, 237, 316?

Answer: LCM of 213, 237, 316 is 67308.

2. How to calculate the LCM of 213, 237, 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 213, 237, 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}.