LCM of 379, 872, 136, 799, 536
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 379, 872, 136, 799, 536 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 379, 872, 136, 799, 536. So, keep reading to learn more.
Given numbers are 379,872,136,799,536
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 379,872,136,799,536 is 17692014104.
Find LCM of 379,872,136,799,536 with Prime Factorization
| 2 | 379, 872, 136, 799, 536 |
| 2 | 379, 436, 68, 799, 268 |
| 2 | 379, 218, 34, 799, 134 |
| 17 | 379, 109, 17, 799, 67 |
| 379, 109, 1, 47, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 379 x 109 x 1 x 47 x 67 = 17692014104
Therefore, the lowest common multiple of 379,872,136,799,536 is 17692014104.
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.
379 x 872 x 136 x 799 x 536 = 19248911345152
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.
379 : 1, 379
872 : 1, 2, 4, 8, 109, 218, 436, 872
136 : 1, 2, 4, 8, 17, 34, 68, 136
799 : 1, 17, 47, 799
536 : 1, 2, 4, 8, 67, 134, 268, 536
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,872,136,799,536, is 1.
Now, the common factors can be found like this.
379:379
872:2x 2x 2x 109
136:2x 2x 2x 17
799:17x 47
536:2x 2x 2x 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 2x 2x 17 = 1088
Therefore, the value for common factors is 1088.
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 = 19248911345152/(1x1088)
LCM = 19248911345152/1088
LCM = 17692014104
Thus, we can understand that the LCM of 379,872,136,799,536 is 17692014104.
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FAQs on LCM of 379, 872, 136, 799, 536
1. What is the LCM of 379, 872, 136, 799, 536?
Answer: LCM of 379, 872, 136, 799, 536 is 17692014104.
2. How to calculate the LCM of 379, 872, 136, 799, 536?
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 379, 872, 136, 799, 536.
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}.