Find the LCM of 168, 436, 710, 335, 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 168, 436, 710, 335, 622. So, keep reading to learn more.
Given numbers are 168,436,710,335,622
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 168,436,710,335,622 is 135456336120.
Find LCM of 168,436,710,335,622 with Prime Factorization
2 | 168, 436, 710, 335, 622 |
2 | 84, 218, 355, 335, 311 |
5 | 42, 109, 355, 335, 311 |
42, 109, 71, 67, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 42 x 109 x 71 x 67 x 311 = 135456336120
Therefore, the lowest common multiple of 168,436,710,335,622 is 135456336120.
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.
168 x 436 x 710 x 335 x 622 = 10836506889600
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.
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
436 : 1, 2, 4, 109, 218, 436
710 : 1, 2, 5, 10, 71, 142, 355, 710
335 : 1, 5, 67, 335
622 : 1, 2, 311, 622
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,436,710,335,622, is 1.
Now, the common factors can be found like this.
168:2x 2x 2x 3x 7
436:2x 2x 109
710:2x 5x 71
335:5x 67
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 2x 5 = 80
Therefore, the value for common factors is 80.
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 = 10836506889600/(1x80)
LCM = 10836506889600/80
LCM = 135456336120
Thus, we can understand that the LCM of 168,436,710,335,622 is 135456336120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 168, 436, 710, 335, 622?
Answer: LCM of 168, 436, 710, 335, 622 is 135456336120.
2. How to calculate the LCM of 168, 436, 710, 335, 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 168, 436, 710, 335, 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}.