LCM of 917, 517, 828, 598, 364
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 917, 517, 828, 598, 364 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 917, 517, 828, 598, 364. So, keep reading to learn more.
Given numbers are 917,517,828,598,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 917,517,828,598,364 is 5103093996.
Find LCM of 917,517,828,598,364 with Prime Factorization
| 2 | 917, 517, 828, 598, 364 |
| 2 | 917, 517, 414, 299, 182 |
| 7 | 917, 517, 207, 299, 91 |
| 13 | 131, 517, 207, 299, 13 |
| 23 | 131, 517, 207, 23, 1 |
| 131, 517, 9, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 23 x 131 x 517 x 9 x 1 x 1 = 5103093996
Therefore, the lowest common multiple of 917,517,828,598,364 is 5103093996.
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.
917 x 517 x 828 x 598 x 364 = 85446205869024
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.
917 : 1, 7, 131, 917
517 : 1, 11, 47, 517
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
598 : 1, 2, 13, 23, 26, 46, 299, 598
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,517,828,598,364, is 1.
Now, the common factors can be found like this.
917:7x 131
517:11x 47
828:2x 2x 3x 3x 23
598:2x 13x 23
364:2x 2x 7x 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 7x 13x 23 = 16744
Therefore, the value for common factors is 16744.
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 = 85446205869024/(1x16744)
LCM = 85446205869024/16744
LCM = 5103093996
Thus, we can understand that the LCM of 917,517,828,598,364 is 5103093996.
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FAQs on LCM of 917, 517, 828, 598, 364
1. What is the LCM of 917, 517, 828, 598, 364?
Answer: LCM of 917, 517, 828, 598, 364 is 5103093996.
2. How to calculate the LCM of 917, 517, 828, 598, 364?
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 917, 517, 828, 598, 364.
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}.