LCM of 692, 992, 806, 207, 543
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 692, 992, 806, 207, 543 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 692, 992, 806, 207, 543. So, keep reading to learn more.
Given numbers are 692,992,806,207,543
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 692,992,806,207,543 is 83589176736.
Find LCM of 692,992,806,207,543 with Prime Factorization
| 2 | 692, 992, 806, 207, 543 |
| 2 | 346, 496, 403, 207, 543 |
| 3 | 173, 248, 403, 207, 543 |
| 31 | 173, 248, 403, 69, 181 |
| 173, 8, 13, 69, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 31 x 173 x 8 x 13 x 69 x 181 = 83589176736
Therefore, the lowest common multiple of 692,992,806,207,543 is 83589176736.
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.
692 x 992 x 806 x 207 x 543 = 62190347491584
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.
692 : 1, 2, 4, 173, 346, 692
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
806 : 1, 2, 13, 26, 31, 62, 403, 806
207 : 1, 3, 9, 23, 69, 207
543 : 1, 3, 181, 543
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,992,806,207,543, is 1.
Now, the common factors can be found like this.
692:2x 2x 173
992:2x 2x 2x 2x 2x 31
806:2x 13x 31
207:3x 3x 23
543:3x 181
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 3x 31 = 744
Therefore, the value for common factors is 744.
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 = 62190347491584/(1x744)
LCM = 62190347491584/744
LCM = 83589176736
Thus, we can understand that the LCM of 692,992,806,207,543 is 83589176736.
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FAQs on LCM of 692, 992, 806, 207, 543
1. What is the LCM of 692, 992, 806, 207, 543?
Answer: LCM of 692, 992, 806, 207, 543 is 83589176736.
2. How to calculate the LCM of 692, 992, 806, 207, 543?
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 692, 992, 806, 207, 543.
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}.