LCM of 552, 522, 817, 279, 310
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 552, 522, 817, 279, 310 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 552, 522, 817, 279, 310. So, keep reading to learn more.
Given numbers are 552,522,817,279,310
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 552,522,817,279,310 is 6081519240.
Find LCM of 552,522,817,279,310 with Prime Factorization
| 2 | 552, 522, 817, 279, 310 |
| 3 | 276, 261, 817, 279, 155 |
| 3 | 92, 87, 817, 93, 155 |
| 31 | 92, 29, 817, 31, 155 |
| 92, 29, 817, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 31 x 92 x 29 x 817 x 1 x 5 = 6081519240
Therefore, the lowest common multiple of 552,522,817,279,310 is 6081519240.
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.
552 x 522 x 817 x 279 x 310 = 20360926415520
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.
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
817 : 1, 19, 43, 817
279 : 1, 3, 9, 31, 93, 279
310 : 1, 2, 5, 10, 31, 62, 155, 310
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,522,817,279,310, is 1.
Now, the common factors can be found like this.
552:2x 2x 2x 3x 23
522:2x 3x 3x 29
817:19x 43
279:3x 3x 31
310:2x 5x 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 2x 3x 3x 3x 31 = 3348
Therefore, the value for common factors is 3348.
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 = 20360926415520/(1x3348)
LCM = 20360926415520/3348
LCM = 6081519240
Thus, we can understand that the LCM of 552,522,817,279,310 is 6081519240.
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FAQs on LCM of 552, 522, 817, 279, 310
1. What is the LCM of 552, 522, 817, 279, 310?
Answer: LCM of 552, 522, 817, 279, 310 is 6081519240.
2. How to calculate the LCM of 552, 522, 817, 279, 310?
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 552, 522, 817, 279, 310.
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}.