LCM of 839, 408, 689, 500, 114
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 839, 408, 689, 500, 114 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 839, 408, 689, 500, 114. So, keep reading to learn more.
Given numbers are 839,408,689,500,114
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 839,408,689,500,114 is 560150799000.
Find LCM of 839,408,689,500,114 with Prime Factorization
| 2 | 839, 408, 689, 500, 114 |
| 2 | 839, 204, 689, 250, 57 |
| 3 | 839, 102, 689, 125, 57 |
| 839, 34, 689, 125, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 839 x 34 x 689 x 125 x 19 = 560150799000
Therefore, the lowest common multiple of 839,408,689,500,114 is 560150799000.
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.
839 x 408 x 689 x 500 x 114 = 13443619176000
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.
839 : 1, 839
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
689 : 1, 13, 53, 689
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
114 : 1, 2, 3, 6, 19, 38, 57, 114
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 839,408,689,500,114, is 1.
Now, the common factors can be found like this.
839:839
408:2x 2x 2x 3x 17
689:13x 53
500:2x 2x 5x 5x 5
114:2x 3x 19
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 3 = 24
Therefore, the value for common factors is 24.
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 = 13443619176000/(1x24)
LCM = 13443619176000/24
LCM = 560150799000
Thus, we can understand that the LCM of 839,408,689,500,114 is 560150799000.
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FAQs on LCM of 839, 408, 689, 500, 114
1. What is the LCM of 839, 408, 689, 500, 114?
Answer: LCM of 839, 408, 689, 500, 114 is 560150799000.
2. How to calculate the LCM of 839, 408, 689, 500, 114?
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 839, 408, 689, 500, 114.
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}.