LCM of 717, 576, 909, 802, 279
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 717, 576, 909, 802, 279 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 717, 576, 909, 802, 279. So, keep reading to learn more.
Given numbers are 717,576,909,802,279
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,576,909,802,279 is 172841419584.
Find LCM of 717,576,909,802,279 with Prime Factorization
| 2 | 717, 576, 909, 802, 279 |
| 3 | 717, 288, 909, 401, 279 |
| 3 | 239, 96, 303, 401, 93 |
| 239, 32, 101, 401, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 239 x 32 x 101 x 401 x 31 = 172841419584
Therefore, the lowest common multiple of 717,576,909,802,279 is 172841419584.
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.
717 x 576 x 909 x 802 x 279 = 84000929917824
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.
717 : 1, 3, 239, 717
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
909 : 1, 3, 9, 101, 303, 909
802 : 1, 2, 401, 802
279 : 1, 3, 9, 31, 93, 279
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,576,909,802,279, is 1.
Now, the common factors can be found like this.
717:3x 239
576:2x 2x 2x 2x 2x 2x 3x 3
909:3x 3x 101
802:2x 401
279:3x 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 3x 3x 3x 3x 3 = 486
Therefore, the value for common factors is 486.
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 = 84000929917824/(1x486)
LCM = 84000929917824/486
LCM = 172841419584
Thus, we can understand that the LCM of 717,576,909,802,279 is 172841419584.
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FAQs on LCM of 717, 576, 909, 802, 279
1. What is the LCM of 717, 576, 909, 802, 279?
Answer: LCM of 717, 576, 909, 802, 279 is 172841419584.
2. How to calculate the LCM of 717, 576, 909, 802, 279?
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 717, 576, 909, 802, 279.
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}.