Find the LCM of 538, 860, 517, 688 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 538, 860, 517, 688. So, keep reading to learn more.
Given numbers are 538,860,517,688
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 538,860,517,688 is 478411120.
Find LCM of 538,860,517,688 with Prime Factorization
2 | 538, 860, 517, 688 |
2 | 269, 430, 517, 344 |
43 | 269, 215, 517, 172 |
269, 5, 517, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 43 x 269 x 5 x 517 x 4 = 478411120
Therefore, the lowest common multiple of 538,860,517,688 is 478411120.
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.
538 x 860 x 517 x 688 = 164573425280
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.
538 : 1, 2, 269, 538
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
517 : 1, 11, 47, 517
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,860,517,688, is 1.
Now, the common factors can be found like this.
538:2x 269
860:2x 2x 5x 43
517:11x 47
688:2x 2x 2x 2x 43
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 43 = 344
Therefore, the value for common factors is 344.
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 = 164573425280/(1x344)
LCM = 164573425280/344
LCM = 478411120
Thus, we can understand that the LCM of 538,860,517,688 is 478411120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 538, 860, 517, 688?
Answer: LCM of 538, 860, 517, 688 is 478411120.
2. How to calculate the LCM of 538, 860, 517, 688?
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 538, 860, 517, 688.
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}.