LCM of 635, 450, 735, 686, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 635, 450, 735, 686, 682 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 635, 450, 735, 686, 682. So, keep reading to learn more.
Given numbers are 635,450,735,686,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,450,735,686,682 is 6684435450.
Find LCM of 635,450,735,686,682 with Prime Factorization
| 2 | 635, 450, 735, 686, 682 |
| 3 | 635, 225, 735, 343, 341 |
| 5 | 635, 75, 245, 343, 341 |
| 7 | 127, 15, 49, 343, 341 |
| 7 | 127, 15, 7, 49, 341 |
| 127, 15, 1, 7, 341 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 7 x 127 x 15 x 1 x 7 x 341 = 6684435450
Therefore, the lowest common multiple of 635,450,735,686,682 is 6684435450.
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.
635 x 450 x 735 x 686 x 682 = 98261201115000
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.
635 : 1, 5, 127, 635
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
686 : 1, 2, 7, 14, 49, 98, 343, 686
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,450,735,686,682, is 1.
Now, the common factors can be found like this.
635:5x 127
450:2x 3x 3x 5x 5
735:3x 5x 7x 7
686:2x 7x 7x 7
682:2x 11x 31
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 5x 5x 7x 7 = 14700
Therefore, the value for common factors is 14700.
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 = 98261201115000/(1x14700)
LCM = 98261201115000/14700
LCM = 6684435450
Thus, we can understand that the LCM of 635,450,735,686,682 is 6684435450.
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FAQs on LCM of 635, 450, 735, 686, 682
1. What is the LCM of 635, 450, 735, 686, 682?
Answer: LCM of 635, 450, 735, 686, 682 is 6684435450.
2. How to calculate the LCM of 635, 450, 735, 686, 682?
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 635, 450, 735, 686, 682.
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}.