LCM of 755, 827, 840, 806, 554
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 755, 827, 840, 806, 554 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 755, 827, 840, 806, 554. So, keep reading to learn more.
Given numbers are 755,827,840,806,554
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 755,827,840,806,554 is 11709721285080.
Find LCM of 755,827,840,806,554 with Prime Factorization
| 2 | 755, 827, 840, 806, 554 |
| 5 | 755, 827, 420, 403, 277 |
| 151, 827, 84, 403, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 151 x 827 x 84 x 403 x 277 = 11709721285080
Therefore, the lowest common multiple of 755,827,840,806,554 is 11709721285080.
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.
755 x 827 x 840 x 806 x 554 = 234194425701600
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.
755 : 1, 5, 151, 755
827 : 1, 827
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
806 : 1, 2, 13, 26, 31, 62, 403, 806
554 : 1, 2, 277, 554
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 755,827,840,806,554, is 1.
Now, the common factors can be found like this.
755:5x 151
827:827
840:2x 2x 2x 3x 5x 7
806:2x 13x 31
554:2x 277
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 5 = 20
Therefore, the value for common factors is 20.
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 = 234194425701600/(1x20)
LCM = 234194425701600/20
LCM = 11709721285080
Thus, we can understand that the LCM of 755,827,840,806,554 is 11709721285080.
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FAQs on LCM of 755, 827, 840, 806, 554
1. What is the LCM of 755, 827, 840, 806, 554?
Answer: LCM of 755, 827, 840, 806, 554 is 11709721285080.
2. How to calculate the LCM of 755, 827, 840, 806, 554?
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 755, 827, 840, 806, 554.
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}.