Given numbers are 315,319,142,506

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

The LCM of 315,319,142,506 is 328184010.

Find LCM of 315,319,142,506 with Prime Factorization

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

2 x 11 x 315 x 29 x 71 x 23 = 328184010

Therefore, the lowest common multiple of 315,319,142,506 is 328184010.

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 319 x 142 x 506 = 7220048220

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

319 : 1, 11, 29, 319

142 : 1, 2, 71, 142

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,319,142,506, is 1.

Now, the common factors can be found like this.

315:3x 3x 5x 7

319:11x 29

142:2x 71

506:2x 11x 23

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 7220048220/(1x22)

LCM = 7220048220/22

LCM = 328184010

Thus, we can understand that the LCM of 315,319,142,506 is 328184010.

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

• LCM of 215, 798, 663, 343
• LCM of 238, 686, 658, 710
• LCM of 950, 587, 665, 993
• LCM of 269, 377, 923, 255
• LCM of 528, 773, 509, 452

1. What is the LCM of 315, 319, 142, 506?

Answer: LCM of 315, 319, 142, 506 is 328184010.

2. How to calculate the LCM of 315, 319, 142, 506?

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, 319, 142, 506.

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}.