LCM of 190, 689, 832, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 190, 689, 832, 416 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 190, 689, 832, 416. So, keep reading to learn more.
Given numbers are 190,689,832,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 190,689,832,416 is 4189120.
Find LCM of 190,689,832,416 with Prime Factorization
| 2 | 190, 689, 832, 416 |
| 2 | 95, 689, 416, 208 |
| 2 | 95, 689, 104, 208 |
| 2 | 95, 689, 52, 104 |
| 2 | 95, 689, 26, 52 |
| 13 | 95, 689, 13, 26 |
| 95, 53, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 13 x 95 x 53 x 1 x 2 = 4189120
Therefore, the lowest common multiple of 190,689,832,416 is 4189120.
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.
190 x 689 x 832 x 416 = 45309521920
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.
190 : 1, 2, 5, 10, 19, 38, 95, 190
689 : 1, 13, 53, 689
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 190,689,832,416, is 1.
Now, the common factors can be found like this.
190:2x 5x 19
689:13x 53
832:2x 2x 2x 2x 2x 2x 13
416:2x 2x 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 2x 2x 2x 2x 13x 13 = 10816
Therefore, the value for common factors is 10816.
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 = 45309521920/(1x10816)
LCM = 45309521920/10816
LCM = 4189120
Thus, we can understand that the LCM of 190,689,832,416 is 4189120.
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FAQs on LCM of 190, 689, 832, 416
1. What is the LCM of 190, 689, 832, 416?
Answer: LCM of 190, 689, 832, 416 is 4189120.
2. How to calculate the LCM of 190, 689, 832, 416?
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 190, 689, 832, 416.
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}.