LCM of 684, 411, 989, 817, 961
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 411, 989, 817, 961 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 684, 411, 989, 817, 961. So, keep reading to learn more.
Given numbers are 684,411,989,817,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,411,989,817,961 is 89062800732.
Find LCM of 684,411,989,817,961 with Prime Factorization
| 3 | 684, 411, 989, 817, 961 |
| 19 | 228, 137, 989, 817, 961 |
| 43 | 12, 137, 989, 43, 961 |
| 12, 137, 23, 1, 961 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 43 x 12 x 137 x 23 x 1 x 961 = 89062800732
Therefore, the lowest common multiple of 684,411,989,817,961 is 89062800732.
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.
684 x 411 x 989 x 817 x 961 = 218292924594132
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
411 : 1, 3, 137, 411
989 : 1, 23, 43, 989
817 : 1, 19, 43, 817
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,411,989,817,961, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
411:3x 137
989:23x 43
817:19x 43
961:31x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 19x 43 = 2451
Therefore, the value for common factors is 2451.
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 = 218292924594132/(1x2451)
LCM = 218292924594132/2451
LCM = 89062800732
Thus, we can understand that the LCM of 684,411,989,817,961 is 89062800732.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 684, 411, 989, 817, 961
1. What is the LCM of 684, 411, 989, 817, 961?
Answer: LCM of 684, 411, 989, 817, 961 is 89062800732.
2. How to calculate the LCM of 684, 411, 989, 817, 961?
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 684, 411, 989, 817, 961.
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}.