Given numbers are 315,26,871

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

The LCM of 315,26,871 is 548730.

Find LCM of 315,26,871 with Prime Factorization

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

13 x 315 x 2 x 67 = 548730

Therefore, the lowest common multiple of 315,26,871 is 548730.

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.

315 x 26 x 871 = 7133490

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.

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

26 : 1, 2, 13, 26

871 : 1, 13, 67, 871

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,26,871, is 1.

Now, the common factors can be found like this.

315:3x 3x 5x 7

26:2x 13

871:13x 67

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

13 = 13

Therefore, the value for common factors is 13.

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 = 7133490/(1x13)

LCM = 7133490/13

LCM = 548730

Thus, we can understand that the LCM of 315,26,871 is 548730.

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

• LCM of 274, 54, 712
• LCM of 384, 39, 947
• LCM of 221, 24, 734
• LCM of 478, 45, 772
• LCM of 591, 51, 404

1. What is the LCM of 315, 26, 871?

Answer: LCM of 315, 26, 871 is 548730.

2. How to calculate the LCM of 315, 26, 871?

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 315, 26, 871.

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}.