LCM of 837, 868, 450, 819, 917
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 837, 868, 450, 819, 917 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 837, 868, 450, 819, 917. So, keep reading to learn more.
Given numbers are 837,868,450,819,917
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 837,868,450,819,917 is 997787700.
Find LCM of 837,868,450,819,917 with Prime Factorization
| 2 | 837, 868, 450, 819, 917 |
| 3 | 837, 434, 225, 819, 917 |
| 3 | 279, 434, 75, 273, 917 |
| 7 | 93, 434, 25, 91, 917 |
| 31 | 93, 62, 25, 13, 131 |
| 3, 2, 25, 13, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 31 x 3 x 2 x 25 x 13 x 131 = 997787700
Therefore, the lowest common multiple of 837,868,450,819,917 is 997787700.
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.
837 x 868 x 450 x 819 x 917 = 245533601640600
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.
837 : 1, 3, 9, 27, 31, 93, 279, 837
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
917 : 1, 7, 131, 917
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 837,868,450,819,917, is 1.
Now, the common factors can be found like this.
837:3x 3x 3x 31
868:2x 2x 7x 31
450:2x 3x 3x 5x 5
819:3x 3x 7x 13
917:7x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 7x 7x 31 = 246078
Therefore, the value for common factors is 246078.
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 = 245533601640600/(1x246078)
LCM = 245533601640600/246078
LCM = 997787700
Thus, we can understand that the LCM of 837,868,450,819,917 is 997787700.
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FAQs on LCM of 837, 868, 450, 819, 917
1. What is the LCM of 837, 868, 450, 819, 917?
Answer: LCM of 837, 868, 450, 819, 917 is 997787700.
2. How to calculate the LCM of 837, 868, 450, 819, 917?
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 837, 868, 450, 819, 917.
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}.