Given numbers are 213,537,269

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

The LCM of 213,537,269 is 10256163.

Find LCM of 213,537,269 with Prime Factorization

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

3 x 71 x 179 x 269 = 10256163

Therefore, the lowest common multiple of 213,537,269 is 10256163.

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 537 x 269 = 30768489

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

537 : 1, 3, 179, 537

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,537,269, is 1.

Now, the common factors can be found like this.

213:3x 71

537:3x 179

269:269

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

3 = 3

Therefore, the value for common factors is 3.

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 = 30768489/(1x3)

LCM = 30768489/3

LCM = 10256163

Thus, we can understand that the LCM of 213,537,269 is 10256163.

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

• LCM of 487, 353, 787
• LCM of 619, 399, 460
• LCM of 478, 155, 225
• LCM of 369, 167, 777
• LCM of 962, 147, 170

1. What is the LCM of 213, 537, 269?

Answer: LCM of 213, 537, 269 is 10256163.

2. How to calculate the LCM of 213, 537, 269?

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, 537, 269.

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}.