LCM of 554, 552, 516, 702, 871
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 554, 552, 516, 702, 871 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 554, 552, 516, 702, 871. So, keep reading to learn more.
Given numbers are 554,552,516,702,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 554,552,516,702,871 is 51540421608.
Find LCM of 554,552,516,702,871 with Prime Factorization
| 2 | 554, 552, 516, 702, 871 |
| 2 | 277, 276, 258, 351, 871 |
| 3 | 277, 138, 129, 351, 871 |
| 13 | 277, 46, 43, 117, 871 |
| 277, 46, 43, 9, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 277 x 46 x 43 x 9 x 67 = 51540421608
Therefore, the lowest common multiple of 554,552,516,702,871 is 51540421608.
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.
554 x 552 x 516 x 702 x 871 = 96483669250176
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.
554 : 1, 2, 277, 554
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 554,552,516,702,871, is 1.
Now, the common factors can be found like this.
554:2x 277
552:2x 2x 2x 3x 23
516:2x 2x 3x 43
702:2x 3x 3x 3x 13
871:13x 67
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 3x 3x 13 = 1872
Therefore, the value for common factors is 1872.
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 = 96483669250176/(1x1872)
LCM = 96483669250176/1872
LCM = 51540421608
Thus, we can understand that the LCM of 554,552,516,702,871 is 51540421608.
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FAQs on LCM of 554, 552, 516, 702, 871
1. What is the LCM of 554, 552, 516, 702, 871?
Answer: LCM of 554, 552, 516, 702, 871 is 51540421608.
2. How to calculate the LCM of 554, 552, 516, 702, 871?
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 554, 552, 516, 702, 871.
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}.