LCM of 595, 754, 726, 798, 609
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 595, 754, 726, 798, 609 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 595, 754, 726, 798, 609. So, keep reading to learn more.
Given numbers are 595,754,726,798,609
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 595,754,726,798,609 is 3094201110.
Find LCM of 595,754,726,798,609 with Prime Factorization
| 2 | 595, 754, 726, 798, 609 |
| 3 | 595, 377, 363, 399, 609 |
| 7 | 595, 377, 121, 133, 203 |
| 29 | 85, 377, 121, 19, 29 |
| 85, 13, 121, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 29 x 85 x 13 x 121 x 19 x 1 = 3094201110
Therefore, the lowest common multiple of 595,754,726,798,609 is 3094201110.
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.
595 x 754 x 726 x 798 x 609 = 158286951983160
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.
595 : 1, 5, 7, 17, 35, 85, 119, 595
754 : 1, 2, 13, 26, 29, 58, 377, 754
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
609 : 1, 3, 7, 21, 29, 87, 203, 609
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 595,754,726,798,609, is 1.
Now, the common factors can be found like this.
595:5x 7x 17
754:2x 13x 29
726:2x 3x 11x 11
798:2x 3x 7x 19
609:3x 7x 29
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 3x 3x 7x 7x 29 = 51156
Therefore, the value for common factors is 51156.
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 = 158286951983160/(1x51156)
LCM = 158286951983160/51156
LCM = 3094201110
Thus, we can understand that the LCM of 595,754,726,798,609 is 3094201110.
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FAQs on LCM of 595, 754, 726, 798, 609
1. What is the LCM of 595, 754, 726, 798, 609?
Answer: LCM of 595, 754, 726, 798, 609 is 3094201110.
2. How to calculate the LCM of 595, 754, 726, 798, 609?
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 595, 754, 726, 798, 609.
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}.