LCM of 902, 696, 393, 754, 825
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 696, 393, 754, 825 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 902, 696, 393, 754, 825. So, keep reading to learn more.
Given numbers are 902,696,393,754,825
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,696,393,754,825 is 13364122200.
Find LCM of 902,696,393,754,825 with Prime Factorization
| 2 | 902, 696, 393, 754, 825 |
| 3 | 451, 348, 393, 377, 825 |
| 11 | 451, 116, 131, 377, 275 |
| 29 | 41, 116, 131, 377, 25 |
| 41, 4, 131, 13, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 29 x 41 x 4 x 131 x 13 x 25 = 13364122200
Therefore, the lowest common multiple of 902,696,393,754,825 is 13364122200.
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.
902 x 696 x 393 x 754 x 825 = 153473579344800
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
393 : 1, 3, 131, 393
754 : 1, 2, 13, 26, 29, 58, 377, 754
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,696,393,754,825, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
696:2x 2x 2x 3x 29
393:3x 131
754:2x 13x 29
825:3x 5x 5x 11
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 3x 11x 29 = 11484
Therefore, the value for common factors is 11484.
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 = 153473579344800/(1x11484)
LCM = 153473579344800/11484
LCM = 13364122200
Thus, we can understand that the LCM of 902,696,393,754,825 is 13364122200.
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FAQs on LCM of 902, 696, 393, 754, 825
1. What is the LCM of 902, 696, 393, 754, 825?
Answer: LCM of 902, 696, 393, 754, 825 is 13364122200.
2. How to calculate the LCM of 902, 696, 393, 754, 825?
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 902, 696, 393, 754, 825.
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}.