Find the LCM of 525, 706, 905, 686, 131 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 525, 706, 905, 686, 131. So, keep reading to learn more.
Given numbers are 525,706,905,686,131
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 525,706,905,686,131 is 430635625350.
Find LCM of 525,706,905,686,131 with Prime Factorization
2 | 525, 706, 905, 686, 131 |
5 | 525, 353, 905, 343, 131 |
7 | 105, 353, 181, 343, 131 |
15, 353, 181, 49, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 15 x 353 x 181 x 49 x 131 = 430635625350
Therefore, the lowest common multiple of 525,706,905,686,131 is 430635625350.
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.
525 x 706 x 905 x 686 x 131 = 30144493774500
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.
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
706 : 1, 2, 353, 706
905 : 1, 5, 181, 905
686 : 1, 2, 7, 14, 49, 98, 343, 686
131 : 1, 131
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 525,706,905,686,131, is 1.
Now, the common factors can be found like this.
525:3x 5x 5x 7
706:2x 353
905:5x 181
686:2x 7x 7x 7
131:131
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 7 = 70
Therefore, the value for common factors is 70.
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 = 30144493774500/(1x70)
LCM = 30144493774500/70
LCM = 430635625350
Thus, we can understand that the LCM of 525,706,905,686,131 is 430635625350.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 525, 706, 905, 686, 131?
Answer: LCM of 525, 706, 905, 686, 131 is 430635625350.
2. How to calculate the LCM of 525, 706, 905, 686, 131?
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 525, 706, 905, 686, 131.
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}.