LCM of 774, 262, 135, 301, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 774, 262, 135, 301, 819 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 774, 262, 135, 301, 819. So, keep reading to learn more.
Given numbers are 774,262,135,301,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 774,262,135,301,819 is 138402810.
Find LCM of 774,262,135,301,819 with Prime Factorization
| 2 | 774, 262, 135, 301, 819 |
| 3 | 387, 131, 135, 301, 819 |
| 3 | 129, 131, 45, 301, 273 |
| 7 | 43, 131, 15, 301, 91 |
| 43 | 43, 131, 15, 43, 13 |
| 1, 131, 15, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 43 x 1 x 131 x 15 x 1 x 13 = 138402810
Therefore, the lowest common multiple of 774,262,135,301,819 is 138402810.
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.
774 x 262 x 135 x 301 x 819 = 6748797821220
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.
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
262 : 1, 2, 131, 262
135 : 1, 3, 5, 9, 15, 27, 45, 135
301 : 1, 7, 43, 301
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 774,262,135,301,819, is 1.
Now, the common factors can be found like this.
774:2x 3x 3x 43
262:2x 131
135:3x 3x 3x 5
301:7x 43
819:3x 3x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 7x 43 = 48762
Therefore, the value for common factors is 48762.
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 = 6748797821220/(1x48762)
LCM = 6748797821220/48762
LCM = 138402810
Thus, we can understand that the LCM of 774,262,135,301,819 is 138402810.
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FAQs on LCM of 774, 262, 135, 301, 819
1. What is the LCM of 774, 262, 135, 301, 819?
Answer: LCM of 774, 262, 135, 301, 819 is 138402810.
2. How to calculate the LCM of 774, 262, 135, 301, 819?
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 774, 262, 135, 301, 819.
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}.