Find the LCM of 540, 793, 336, 184, 982 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 540, 793, 336, 184, 982. So, keep reading to learn more.
Given numbers are 540,793,336,184,982
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 540,793,336,184,982 is 135404876880.
Find LCM of 540,793,336,184,982 with Prime Factorization
2 | 540, 793, 336, 184, 982 |
2 | 270, 793, 168, 92, 491 |
2 | 135, 793, 84, 46, 491 |
3 | 135, 793, 42, 23, 491 |
45, 793, 14, 23, 491 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 45 x 793 x 14 x 23 x 491 = 135404876880
Therefore, the lowest common multiple of 540,793,336,184,982 is 135404876880.
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.
540 x 793 x 336 x 184 x 982 = 25997736360960
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.
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
793 : 1, 13, 61, 793
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
184 : 1, 2, 4, 8, 23, 46, 92, 184
982 : 1, 2, 491, 982
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,793,336,184,982, is 1.
Now, the common factors can be found like this.
540:2x 2x 3x 3x 3x 5
793:13x 61
336:2x 2x 2x 2x 3x 7
184:2x 2x 2x 23
982:2x 491
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 2x 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 25997736360960/(1x192)
LCM = 25997736360960/192
LCM = 135404876880
Thus, we can understand that the LCM of 540,793,336,184,982 is 135404876880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 540, 793, 336, 184, 982?
Answer: LCM of 540, 793, 336, 184, 982 is 135404876880.
2. How to calculate the LCM of 540, 793, 336, 184, 982?
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 540, 793, 336, 184, 982.
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}.