Given numbers are 266,57,413

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

The LCM of 266,57,413 is 47082.

Find LCM of 266,57,413 with Prime Factorization

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

7 x 19 x 2 x 3 x 59 = 47082

Therefore, the lowest common multiple of 266,57,413 is 47082.

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.

266 x 57 x 413 = 6261906

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.

266 : 1, 2, 7, 14, 19, 38, 133, 266

57 : 1, 3, 19, 57

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 266,57,413, is 1.

Now, the common factors can be found like this.

266:2x 7x 19

57:3x 19

413:7x 59

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

7x 19 = 133

Therefore, the value for common factors is 133.

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 = 6261906/(1x133)

LCM = 6261906/133

LCM = 47082

Thus, we can understand that the LCM of 266,57,413 is 47082.

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

• LCM of 777, 45, 194
• LCM of 745, 61, 238
• LCM of 503, 84, 480
• LCM of 249, 10, 323
• LCM of 355, 84, 548

1. What is the LCM of 266, 57, 413?

Answer: LCM of 266, 57, 413 is 47082.

2. How to calculate the LCM of 266, 57, 413?

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 266, 57, 413.

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}.