LCM of 568, 836, 817, 652, 351
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 568, 836, 817, 652, 351 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 568, 836, 817, 652, 351. So, keep reading to learn more.
Given numbers are 568,836,817,652,351
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 568,836,817,652,351 is 292050395208.
Find LCM of 568,836,817,652,351 with Prime Factorization
| 2 | 568, 836, 817, 652, 351 |
| 2 | 284, 418, 817, 326, 351 |
| 19 | 142, 209, 817, 163, 351 |
| 142, 11, 43, 163, 351 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 142 x 11 x 43 x 163 x 351 = 292050395208
Therefore, the lowest common multiple of 568,836,817,652,351 is 292050395208.
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.
568 x 836 x 817 x 652 x 351 = 88783320143232
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.
568 : 1, 2, 4, 8, 71, 142, 284, 568
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
817 : 1, 19, 43, 817
652 : 1, 2, 4, 163, 326, 652
351 : 1, 3, 9, 13, 27, 39, 117, 351
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 568,836,817,652,351, is 1.
Now, the common factors can be found like this.
568:2x 2x 2x 71
836:2x 2x 11x 19
817:19x 43
652:2x 2x 163
351:3x 3x 3x 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 2x 2x 19 = 304
Therefore, the value for common factors is 304.
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 = 88783320143232/(1x304)
LCM = 88783320143232/304
LCM = 292050395208
Thus, we can understand that the LCM of 568,836,817,652,351 is 292050395208.
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FAQs on LCM of 568, 836, 817, 652, 351
1. What is the LCM of 568, 836, 817, 652, 351?
Answer: LCM of 568, 836, 817, 652, 351 is 292050395208.
2. How to calculate the LCM of 568, 836, 817, 652, 351?
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 568, 836, 817, 652, 351.
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}.