Find the LCM of 735, 412, 686, 406, 622 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 735, 412, 686, 406, 622. So, keep reading to learn more.
Given numbers are 735,412,686,406,622
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 735,412,686,406,622 is 19117935060.
Find LCM of 735,412,686,406,622 with Prime Factorization
2 | 735, 412, 686, 406, 622 |
7 | 735, 206, 343, 203, 311 |
7 | 105, 206, 49, 29, 311 |
15, 206, 7, 29, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 7 x 15 x 206 x 7 x 29 x 311 = 19117935060
Therefore, the lowest common multiple of 735,412,686,406,622 is 19117935060.
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.
735 x 412 x 686 x 406 x 622 = 52459613804640
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.
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
412 : 1, 2, 4, 103, 206, 412
686 : 1, 2, 7, 14, 49, 98, 343, 686
406 : 1, 2, 7, 14, 29, 58, 203, 406
622 : 1, 2, 311, 622
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,412,686,406,622, is 1.
Now, the common factors can be found like this.
735:3x 5x 7x 7
412:2x 2x 103
686:2x 7x 7x 7
406:2x 7x 29
622:2x 311
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 7x 7x 7 = 2744
Therefore, the value for common factors is 2744.
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 = 52459613804640/(1x2744)
LCM = 52459613804640/2744
LCM = 19117935060
Thus, we can understand that the LCM of 735,412,686,406,622 is 19117935060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 735, 412, 686, 406, 622?
Answer: LCM of 735, 412, 686, 406, 622 is 19117935060.
2. How to calculate the LCM of 735, 412, 686, 406, 622?
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 735, 412, 686, 406, 622.
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}.