LCM of 965, 245, 834, 510, 518
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 965, 245, 834, 510, 518 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 965, 245, 834, 510, 518. So, keep reading to learn more.
Given numbers are 965,245,834,510,518
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 965,245,834,510,518 is 24805049010.
Find LCM of 965,245,834,510,518 with Prime Factorization
| 2 | 965, 245, 834, 510, 518 |
| 3 | 965, 245, 417, 255, 259 |
| 5 | 965, 245, 139, 85, 259 |
| 7 | 193, 49, 139, 17, 259 |
| 193, 7, 139, 17, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 193 x 7 x 139 x 17 x 37 = 24805049010
Therefore, the lowest common multiple of 965,245,834,510,518 is 24805049010.
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.
965 x 245 x 834 x 510 x 518 = 52090602921000
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.
965 : 1, 5, 193, 965
245 : 1, 5, 7, 35, 49, 245
834 : 1, 2, 3, 6, 139, 278, 417, 834
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
518 : 1, 2, 7, 14, 37, 74, 259, 518
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,245,834,510,518, is 1.
Now, the common factors can be found like this.
965:5x 193
245:5x 7x 7
834:2x 3x 139
510:2x 3x 5x 17
518:2x 7x 37
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 3x 5x 5x 7 = 2100
Therefore, the value for common factors is 2100.
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 = 52090602921000/(1x2100)
LCM = 52090602921000/2100
LCM = 24805049010
Thus, we can understand that the LCM of 965,245,834,510,518 is 24805049010.
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FAQs on LCM of 965, 245, 834, 510, 518
1. What is the LCM of 965, 245, 834, 510, 518?
Answer: LCM of 965, 245, 834, 510, 518 is 24805049010.
2. How to calculate the LCM of 965, 245, 834, 510, 518?
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 965, 245, 834, 510, 518.
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}.