LCM of 539, 791, 151, 252, 104
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 539, 791, 151, 252, 104 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 539, 791, 151, 252, 104. So, keep reading to learn more.
Given numbers are 539,791,151,252,104
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 539,791,151,252,104 is 8608351752.
Find LCM of 539,791,151,252,104 with Prime Factorization
| 2 | 539, 791, 151, 252, 104 |
| 2 | 539, 791, 151, 126, 52 |
| 7 | 539, 791, 151, 63, 26 |
| 77, 113, 151, 9, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 77 x 113 x 151 x 9 x 26 = 8608351752
Therefore, the lowest common multiple of 539,791,151,252,104 is 8608351752.
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.
539 x 791 x 151 x 252 x 104 = 1687236943392
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.
539 : 1, 7, 11, 49, 77, 539
791 : 1, 7, 113, 791
151 : 1, 151
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
104 : 1, 2, 4, 8, 13, 26, 52, 104
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 539,791,151,252,104, is 1.
Now, the common factors can be found like this.
539:7x 7x 11
791:7x 113
151:151
252:2x 2x 3x 3x 7
104:2x 2x 2x 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 7x 7 = 196
Therefore, the value for common factors is 196.
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 = 1687236943392/(1x196)
LCM = 1687236943392/196
LCM = 8608351752
Thus, we can understand that the LCM of 539,791,151,252,104 is 8608351752.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 539, 791, 151, 252, 104
1. What is the LCM of 539, 791, 151, 252, 104?
Answer: LCM of 539, 791, 151, 252, 104 is 8608351752.
2. How to calculate the LCM of 539, 791, 151, 252, 104?
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 539, 791, 151, 252, 104.
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}.