Given numbers are 61,73,85,816

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

The LCM of 61,73,85,816 is 18168240.

Find LCM of 61,73,85,816 with Prime Factorization

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

17 x 61 x 73 x 5 x 48 = 18168240

Therefore, the lowest common multiple of 61,73,85,816 is 18168240.

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.

61 x 73 x 85 x 816 = 308860080

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.

61 : 1, 61

73 : 1, 73

85 : 1, 5, 17, 85

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 61,73,85,816, is 1.

Now, the common factors can be found like this.

61:61

73:73

85:5x 17

816:2x 2x 2x 2x 3x 17

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

17 = 17

Therefore, the value for common factors is 17.

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 = 308860080/(1x17)

LCM = 308860080/17

LCM = 18168240

Thus, we can understand that the LCM of 61,73,85,816 is 18168240.

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

• LCM of 11, 75, 75, 500
• LCM of 75, 69, 20, 589
• LCM of 94, 63, 30, 707
• LCM of 81, 82, 63, 249
• LCM of 89, 64, 82, 608

1. What is the LCM of 61, 73, 85, 816?

Answer: LCM of 61, 73, 85, 816 is 18168240.

2. How to calculate the LCM of 61, 73, 85, 816?

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 61, 73, 85, 816.

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}.