LCM of 106, 530, 655, 797
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 106, 530, 655, 797 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 106, 530, 655, 797. So, keep reading to learn more.
Given numbers are 106,530,655,797
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 106,530,655,797 is 55335710.
Find LCM of 106,530,655,797 with Prime Factorization
| 2 | 106, 530, 655, 797 |
| 5 | 53, 265, 655, 797 |
| 53 | 53, 53, 131, 797 |
| 1, 1, 131, 797 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 53 x 1 x 1 x 131 x 797 = 55335710
Therefore, the lowest common multiple of 106,530,655,797 is 55335710.
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.
106 x 530 x 655 x 797 = 29327926300
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.
106 : 1, 2, 53, 106
530 : 1, 2, 5, 10, 53, 106, 265, 530
655 : 1, 5, 131, 655
797 : 1, 797
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,530,655,797, is 1.
Now, the common factors can be found like this.
106:2x 53
530:2x 5x 53
655:5x 131
797:797
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 53 = 530
Therefore, the value for common factors is 530.
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 = 29327926300/(1x530)
LCM = 29327926300/530
LCM = 55335710
Thus, we can understand that the LCM of 106,530,655,797 is 55335710.
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FAQs on LCM of 106, 530, 655, 797
1. What is the LCM of 106, 530, 655, 797?
Answer: LCM of 106, 530, 655, 797 is 55335710.
2. How to calculate the LCM of 106, 530, 655, 797?
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 106, 530, 655, 797.
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}.