LCM of 190, 868, 915, 103, 434
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 190, 868, 915, 103, 434 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, 868, 915, 103, 434. So, keep reading to learn more.
Given numbers are 190,868,915,103,434
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 190,868,915,103,434 is 1554288540.
Find LCM of 190,868,915,103,434 with Prime Factorization
| 2 | 190, 868, 915, 103, 434 |
| 5 | 95, 434, 915, 103, 217 |
| 7 | 19, 434, 183, 103, 217 |
| 31 | 19, 62, 183, 103, 31 |
| 19, 2, 183, 103, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 31 x 19 x 2 x 183 x 103 x 1 = 1554288540
Therefore, the lowest common multiple of 190,868,915,103,434 is 1554288540.
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 868 x 915 x 103 x 434 = 6745612263600
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
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
915 : 1, 3, 5, 15, 61, 183, 305, 915
103 : 1, 103
434 : 1, 2, 7, 14, 31, 62, 217, 434
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 190,868,915,103,434, is 1.
Now, the common factors can be found like this.
190:2x 5x 19
868:2x 2x 7x 31
915:3x 5x 61
103:103
434:2x 7x 31
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 5x 7x 31 = 4340
Therefore, the value for common factors is 4340.
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 = 6745612263600/(1x4340)
LCM = 6745612263600/4340
LCM = 1554288540
Thus, we can understand that the LCM of 190,868,915,103,434 is 1554288540.
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FAQs on LCM of 190, 868, 915, 103, 434
1. What is the LCM of 190, 868, 915, 103, 434?
Answer: LCM of 190, 868, 915, 103, 434 is 1554288540.
2. How to calculate the LCM of 190, 868, 915, 103, 434?
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, 868, 915, 103, 434.
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}.