LCM of 855, 747, 551, 593, 552
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 855, 747, 551, 593, 552 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 855, 747, 551, 593, 552. So, keep reading to learn more.
Given numbers are 855,747,551,593,552
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,747,551,593,552 is 224550859320.
Find LCM of 855,747,551,593,552 with Prime Factorization
| 3 | 855, 747, 551, 593, 552 |
| 3 | 285, 249, 551, 593, 184 |
| 19 | 95, 83, 551, 593, 184 |
| 5, 83, 29, 593, 184 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 19 x 5 x 83 x 29 x 593 x 184 = 224550859320
Therefore, the lowest common multiple of 855,747,551,593,552 is 224550859320.
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.
855 x 747 x 551 x 593 x 552 = 115194590831160
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.
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
747 : 1, 3, 9, 83, 249, 747
551 : 1, 19, 29, 551
593 : 1, 593
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,747,551,593,552, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
747:3x 3x 83
551:19x 29
593:593
552:2x 2x 2x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 19 = 513
Therefore, the value for common factors is 513.
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 = 115194590831160/(1x513)
LCM = 115194590831160/513
LCM = 224550859320
Thus, we can understand that the LCM of 855,747,551,593,552 is 224550859320.
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FAQs on LCM of 855, 747, 551, 593, 552
1. What is the LCM of 855, 747, 551, 593, 552?
Answer: LCM of 855, 747, 551, 593, 552 is 224550859320.
2. How to calculate the LCM of 855, 747, 551, 593, 552?
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 855, 747, 551, 593, 552.
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}.