Given numbers are 810,106,240,988

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

The LCM of 810,106,240,988 is 84829680.

Find LCM of 810,106,240,988 with Prime Factorization

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

2 x 2 x 3 x 5 x 27 x 53 x 4 x 247 = 84829680

Therefore, the lowest common multiple of 810,106,240,988 is 84829680.

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.

810 x 106 x 240 x 988 = 20359123200

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.

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

106 : 1, 2, 53, 106

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,106,240,988, is 2.

Now, the common factors can be found like this.

810:2x 3x 3x 3x 3x 5

106:2x 53

240:2x 2x 2x 2x 3x 5

988:2x 2x 13x 19

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

2x 2x 2x 3x 5 = 120

Therefore, the value for common factors is 120.

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 = 20359123200/(2x120)

LCM = 20359123200/240

LCM = 84829680

Thus, we can understand that the LCM of 810,106,240,988 is 84829680.

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

• LCM of 393, 375, 505, 359
• LCM of 825, 353, 969, 856
• LCM of 492, 500, 948, 777
• LCM of 868, 429, 130, 180
• LCM of 883, 247, 312, 111

1. What is the LCM of 810, 106, 240, 988?

Answer: LCM of 810, 106, 240, 988 is 84829680.

2. How to calculate the LCM of 810, 106, 240, 988?

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 810, 106, 240, 988.

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}.