LCM of 722, 806, 609, 581, 364
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 722, 806, 609, 581, 364 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 722, 806, 609, 581, 364. So, keep reading to learn more.
Given numbers are 722,806,609,581,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,806,609,581,364 is 29414916804.
Find LCM of 722,806,609,581,364 with Prime Factorization
| 2 | 722, 806, 609, 581, 364 |
| 7 | 361, 403, 609, 581, 182 |
| 13 | 361, 403, 87, 83, 26 |
| 361, 31, 87, 83, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 361 x 31 x 87 x 83 x 2 = 29414916804
Therefore, the lowest common multiple of 722,806,609,581,364 is 29414916804.
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.
722 x 806 x 609 x 581 x 364 = 74949208016592
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.
722 : 1, 2, 19, 38, 361, 722
806 : 1, 2, 13, 26, 31, 62, 403, 806
609 : 1, 3, 7, 21, 29, 87, 203, 609
581 : 1, 7, 83, 581
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,806,609,581,364, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
806:2x 13x 31
609:3x 7x 29
581:7x 83
364:2x 2x 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 2x 7x 7x 13 = 2548
Therefore, the value for common factors is 2548.
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 = 74949208016592/(1x2548)
LCM = 74949208016592/2548
LCM = 29414916804
Thus, we can understand that the LCM of 722,806,609,581,364 is 29414916804.
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FAQs on LCM of 722, 806, 609, 581, 364
1. What is the LCM of 722, 806, 609, 581, 364?
Answer: LCM of 722, 806, 609, 581, 364 is 29414916804.
2. How to calculate the LCM of 722, 806, 609, 581, 364?
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 722, 806, 609, 581, 364.
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}.