LCM of 703, 522, 798, 825, 835
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 703, 522, 798, 825, 835 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 703, 522, 798, 825, 835. So, keep reading to learn more.
Given numbers are 703,522,798,825,835
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 703,522,798,825,835 is 117970394850.
Find LCM of 703,522,798,825,835 with Prime Factorization
| 2 | 703, 522, 798, 825, 835 |
| 3 | 703, 261, 399, 825, 835 |
| 5 | 703, 87, 133, 275, 835 |
| 19 | 703, 87, 133, 55, 167 |
| 37, 87, 7, 55, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 37 x 87 x 7 x 55 x 167 = 117970394850
Therefore, the lowest common multiple of 703,522,798,825,835 is 117970394850.
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.
703 x 522 x 798 x 825 x 835 = 201729375193500
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.
703 : 1, 19, 37, 703
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
835 : 1, 5, 167, 835
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,522,798,825,835, is 1.
Now, the common factors can be found like this.
703:19x 37
522:2x 3x 3x 29
798:2x 3x 7x 19
825:3x 5x 5x 11
835:5x 167
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 5x 19 = 1710
Therefore, the value for common factors is 1710.
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 = 201729375193500/(1x1710)
LCM = 201729375193500/1710
LCM = 117970394850
Thus, we can understand that the LCM of 703,522,798,825,835 is 117970394850.
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FAQs on LCM of 703, 522, 798, 825, 835
1. What is the LCM of 703, 522, 798, 825, 835?
Answer: LCM of 703, 522, 798, 825, 835 is 117970394850.
2. How to calculate the LCM of 703, 522, 798, 825, 835?
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 703, 522, 798, 825, 835.
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}.