LCM of 732, 900, 686, 682, 345
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 732, 900, 686, 682, 345 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 732, 900, 686, 682, 345. So, keep reading to learn more.
Given numbers are 732,900,686,682,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 732,900,686,682,345 is 147689180100.
Find LCM of 732,900,686,682,345 with Prime Factorization
| 2 | 732, 900, 686, 682, 345 |
| 2 | 366, 450, 343, 341, 345 |
| 3 | 183, 225, 343, 341, 345 |
| 5 | 61, 75, 343, 341, 115 |
| 61, 15, 343, 341, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 61 x 15 x 343 x 341 x 23 = 147689180100
Therefore, the lowest common multiple of 732,900,686,682,345 is 147689180100.
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.
732 x 900 x 686 x 682 x 345 = 106336209672000
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.
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
686 : 1, 2, 7, 14, 49, 98, 343, 686
682 : 1, 2, 11, 22, 31, 62, 341, 682
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,900,686,682,345, is 1.
Now, the common factors can be found like this.
732:2x 2x 3x 61
900:2x 2x 3x 3x 5x 5
686:2x 7x 7x 7
682:2x 11x 31
345:3x 5x 23
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 2x 3x 3x 5 = 720
Therefore, the value for common factors is 720.
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 = 106336209672000/(1x720)
LCM = 106336209672000/720
LCM = 147689180100
Thus, we can understand that the LCM of 732,900,686,682,345 is 147689180100.
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FAQs on LCM of 732, 900, 686, 682, 345
1. What is the LCM of 732, 900, 686, 682, 345?
Answer: LCM of 732, 900, 686, 682, 345 is 147689180100.
2. How to calculate the LCM of 732, 900, 686, 682, 345?
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 732, 900, 686, 682, 345.
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}.