Find the LCM of 487, 805, 342, 589, 166 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 487, 805, 342, 589, 166. So, keep reading to learn more.
Given numbers are 487,805,342,589,166
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,805,342,589,166 is 344977470810.
Find LCM of 487,805,342,589,166 with Prime Factorization
2 | 487, 805, 342, 589, 166 |
19 | 487, 805, 171, 589, 83 |
487, 805, 9, 31, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 487 x 805 x 9 x 31 x 83 = 344977470810
Therefore, the lowest common multiple of 487,805,342,589,166 is 344977470810.
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.
487 x 805 x 342 x 589 x 166 = 13109143890780
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.
487 : 1, 487
805 : 1, 5, 7, 23, 35, 115, 161, 805
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
589 : 1, 19, 31, 589
166 : 1, 2, 83, 166
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,805,342,589,166, is 1.
Now, the common factors can be found like this.
487:487
805:5x 7x 23
342:2x 3x 3x 19
589:19x 31
166:2x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19 = 38
Therefore, the value for common factors is 38.
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 = 13109143890780/(1x38)
LCM = 13109143890780/38
LCM = 344977470810
Thus, we can understand that the LCM of 487,805,342,589,166 is 344977470810.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 487, 805, 342, 589, 166?
Answer: LCM of 487, 805, 342, 589, 166 is 344977470810.
2. How to calculate the LCM of 487, 805, 342, 589, 166?
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 487, 805, 342, 589, 166.
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}.