Find the LCM of 184, 508, 818, 817, 140 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 184, 508, 818, 817, 140. So, keep reading to learn more.
Given numbers are 184,508,818,817,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 184,508,818,817,140 is 273297055640.
Find LCM of 184,508,818,817,140 with Prime Factorization
2 | 184, 508, 818, 817, 140 |
2 | 92, 254, 409, 817, 70 |
46, 127, 409, 817, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 46 x 127 x 409 x 817 x 35 = 273297055640
Therefore, the lowest common multiple of 184,508,818,817,140 is 273297055640.
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.
184 x 508 x 818 x 817 x 140 = 8745505780480
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.
184 : 1, 2, 4, 8, 23, 46, 92, 184
508 : 1, 2, 4, 127, 254, 508
818 : 1, 2, 409, 818
817 : 1, 19, 43, 817
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 184,508,818,817,140, is 1.
Now, the common factors can be found like this.
184:2x 2x 2x 23
508:2x 2x 127
818:2x 409
817:19x 43
140:2x 2x 5x 7
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 2x 2 = 32
Therefore, the value for common factors is 32.
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 = 8745505780480/(1x32)
LCM = 8745505780480/32
LCM = 273297055640
Thus, we can understand that the LCM of 184,508,818,817,140 is 273297055640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 184, 508, 818, 817, 140?
Answer: LCM of 184, 508, 818, 817, 140 is 273297055640.
2. How to calculate the LCM of 184, 508, 818, 817, 140?
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 184, 508, 818, 817, 140.
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}.