LCM of 917, 798, 364, 822
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 917, 798, 364, 822 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, 798, 364, 822. So, keep reading to learn more.
Given numbers are 917,798,364,822
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 917,798,364,822 is 372364356.
Find LCM of 917,798,364,822 with Prime Factorization
| 2 | 917, 798, 364, 822 |
| 3 | 917, 399, 182, 411 |
| 7 | 917, 133, 182, 137 |
| 131, 19, 26, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 131 x 19 x 26 x 137 = 372364356
Therefore, the lowest common multiple of 917,798,364,822 is 372364356.
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 798 x 364 x 822 = 218950241328
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
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
822 : 1, 2, 3, 6, 137, 274, 411, 822
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,798,364,822, is 1.
Now, the common factors can be found like this.
917:7x 131
798:2x 3x 7x 19
364:2x 2x 7x 13
822:2x 3x 137
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 7x 7 = 588
Therefore, the value for common factors is 588.
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 = 218950241328/(1x588)
LCM = 218950241328/588
LCM = 372364356
Thus, we can understand that the LCM of 917,798,364,822 is 372364356.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 917, 798, 364, 822
1. What is the LCM of 917, 798, 364, 822?
Answer: LCM of 917, 798, 364, 822 is 372364356.
2. How to calculate the LCM of 917, 798, 364, 822?
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, 798, 364, 822.
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}.