LCM of 408, 157, 804, 819, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 408, 157, 804, 819, 684 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 408, 157, 804, 819, 684. So, keep reading to learn more.
Given numbers are 408,157,804,819,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 408,157,804,819,684 is 22261317624.
Find LCM of 408,157,804,819,684 with Prime Factorization
| 2 | 408, 157, 804, 819, 684 |
| 2 | 204, 157, 402, 819, 342 |
| 3 | 102, 157, 201, 819, 171 |
| 3 | 34, 157, 67, 273, 57 |
| 34, 157, 67, 91, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 34 x 157 x 67 x 91 x 19 = 22261317624
Therefore, the lowest common multiple of 408,157,804,819,684 is 22261317624.
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.
408 x 157 x 804 x 819 x 684 = 28850667640704
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.
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
157 : 1, 157
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,157,804,819,684, is 1.
Now, the common factors can be found like this.
408:2x 2x 2x 3x 17
157:157
804:2x 2x 3x 67
819:3x 3x 7x 13
684:2x 2x 3x 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 2x 3x 3x 3x 3 = 1296
Therefore, the value for common factors is 1296.
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 = 28850667640704/(1x1296)
LCM = 28850667640704/1296
LCM = 22261317624
Thus, we can understand that the LCM of 408,157,804,819,684 is 22261317624.
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FAQs on LCM of 408, 157, 804, 819, 684
1. What is the LCM of 408, 157, 804, 819, 684?
Answer: LCM of 408, 157, 804, 819, 684 is 22261317624.
2. How to calculate the LCM of 408, 157, 804, 819, 684?
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 408, 157, 804, 819, 684.
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}.