LCM of 809, 942, 684, 802, 744
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 809, 942, 684, 802, 744 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 809, 942, 684, 802, 744. So, keep reading to learn more.
Given numbers are 809,942,684,802,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 809,942,684,802,744 is 2159933288904.
Find LCM of 809,942,684,802,744 with Prime Factorization
| 2 | 809, 942, 684, 802, 744 |
| 2 | 809, 471, 342, 401, 372 |
| 3 | 809, 471, 171, 401, 186 |
| 809, 157, 57, 401, 62 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 809 x 157 x 57 x 401 x 62 = 2159933288904
Therefore, the lowest common multiple of 809,942,684,802,744 is 2159933288904.
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.
809 x 942 x 684 x 802 x 744 = 311030393602176
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.
809 : 1, 809
942 : 1, 2, 3, 6, 157, 314, 471, 942
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
802 : 1, 2, 401, 802
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,942,684,802,744, is 1.
Now, the common factors can be found like this.
809:809
942:2x 3x 157
684:2x 2x 3x 3x 19
802:2x 401
744:2x 2x 2x 3x 31
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 3 = 144
Therefore, the value for common factors is 144.
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 = 311030393602176/(1x144)
LCM = 311030393602176/144
LCM = 2159933288904
Thus, we can understand that the LCM of 809,942,684,802,744 is 2159933288904.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 809, 942, 684, 802, 744
1. What is the LCM of 809, 942, 684, 802, 744?
Answer: LCM of 809, 942, 684, 802, 744 is 2159933288904.
2. How to calculate the LCM of 809, 942, 684, 802, 744?
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 809, 942, 684, 802, 744.
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}.