Given numbers are 810,242,469,564,114

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

The LCM of 810,242,469,564,114 is 82096508340.

Find LCM of 810,242,469,564,114 with Prime Factorization

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

2 x 3 x 135 x 121 x 469 x 94 x 19 = 82096508340

Therefore, the lowest common multiple of 810,242,469,564,114 is 82096508340.

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 242 x 469 x 564 x 114 = 5910948600480

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

242 : 1, 2, 11, 22, 121, 242

469 : 1, 7, 67, 469

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

114 : 1, 2, 3, 6, 19, 38, 57, 114

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,242,469,564,114, is 1.

Now, the common factors can be found like this.

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

242:2x 11x 11

469:7x 67

564:2x 2x 3x 47

114:2x 3x 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 3 = 72

Therefore, the value for common factors is 72.

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 = 5910948600480/(1x72)

LCM = 5910948600480/72

LCM = 82096508340

Thus, we can understand that the LCM of 810,242,469,564,114 is 82096508340.

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

• LCM of 741, 505, 976, 468, 178
• LCM of 277, 434, 862, 639, 140
• LCM of 240, 891, 626, 185, 487
• LCM of 328, 381, 496, 216, 498
• LCM of 719, 398, 746, 458, 163

1. What is the LCM of 810, 242, 469, 564, 114?

Answer: LCM of 810, 242, 469, 564, 114 is 82096508340.

2. How to calculate the LCM of 810, 242, 469, 564, 114?

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, 242, 469, 564, 114.

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}.