Given numbers are 315,27,142

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

The LCM of 315,27,142 is 134190.

Find LCM of 315,27,142 with Prime Factorization

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

3 x 3 x 35 x 3 x 142 = 134190

Therefore, the lowest common multiple of 315,27,142 is 134190.

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 27 x 142 = 1207710

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

27 : 1, 3, 9, 27

142 : 1, 2, 71, 142

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,27,142, is 1.

Now, the common factors can be found like this.

315:3x 3x 5x 7

27:3x 3x 3

142:2x 71

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 1207710/(1x9)

LCM = 1207710/9

LCM = 134190

Thus, we can understand that the LCM of 315,27,142 is 134190.

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

• LCM of 473, 68, 533
• LCM of 202, 57, 692
• LCM of 967, 78, 767
• LCM of 933, 42, 794
• LCM of 864, 62, 857

1. What is the LCM of 315, 27, 142?

Answer: LCM of 315, 27, 142 is 134190.

2. How to calculate the LCM of 315, 27, 142?

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, 27, 142.

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}.