Given numbers are 71,63,35,80,335

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

The LCM of 71,63,35,80,335 is 23975280.

Find LCM of 71,63,35,80,335 with Prime Factorization

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

5 x 7 x 71 x 9 x 1 x 16 x 67 = 23975280

Therefore, the lowest common multiple of 71,63,35,80,335 is 23975280.

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.

71 x 63 x 35 x 80 x 335 = 4195674000

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.

71 : 1, 71

63 : 1, 3, 7, 9, 21, 63

35 : 1, 5, 7, 35

80 : 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

335 : 1, 5, 67, 335

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 71,63,35,80,335, is 1.

Now, the common factors can be found like this.

71:71

63:3x 3x 7

35:5x 7

80:2x 2x 2x 2x 5

335:5x 67

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

5x 5x 7 = 175

Therefore, the value for common factors is 175.

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 = 4195674000/(1x175)

LCM = 4195674000/175

LCM = 23975280

Thus, we can understand that the LCM of 71,63,35,80,335 is 23975280.

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

• LCM of 90, 81, 72, 75, 166
• LCM of 45, 30, 69, 53, 825
• LCM of 31, 41, 26, 23, 890
• LCM of 70, 12, 55, 88, 115
• LCM of 88, 31, 65, 95, 584

1. What is the LCM of 71, 63, 35, 80, 335?

Answer: LCM of 71, 63, 35, 80, 335 is 23975280.

2. How to calculate the LCM of 71, 63, 35, 80, 335?

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 71, 63, 35, 80, 335.

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}.