Find the LCM of 343, 526, 681, 681, 102 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 343, 526, 681, 681, 102. So, keep reading to learn more.
Given numbers are 343,526,681,681,102
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,526,681,681,102 is 2088699186.
Find LCM of 343,526,681,681,102 with Prime Factorization
2 | 343, 526, 681, 681, 102 |
3 | 343, 263, 681, 681, 51 |
227 | 343, 263, 227, 227, 17 |
343, 263, 1, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 227 x 343 x 263 x 1 x 1 x 17 = 2088699186
Therefore, the lowest common multiple of 343,526,681,681,102 is 2088699186.
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.
343 x 526 x 681 x 681 x 102 = 8534424873996
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.
343 : 1, 7, 49, 343
526 : 1, 2, 263, 526
681 : 1, 3, 227, 681
681 : 1, 3, 227, 681
102 : 1, 2, 3, 6, 17, 34, 51, 102
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,526,681,681,102, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
526:2x 263
681:3x 227
681:3x 227
102:2x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 227 = 4086
Therefore, the value for common factors is 4086.
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 = 8534424873996/(1x4086)
LCM = 8534424873996/4086
LCM = 2088699186
Thus, we can understand that the LCM of 343,526,681,681,102 is 2088699186.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 343, 526, 681, 681, 102?
Answer: LCM of 343, 526, 681, 681, 102 is 2088699186.
2. How to calculate the LCM of 343, 526, 681, 681, 102?
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 343, 526, 681, 681, 102.
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}.