Find the LCM of 387, 639, 171, 817, 639 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 387, 639, 171, 817, 639. So, keep reading to learn more.
Given numbers are 387,639,171,817,639
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 387,639,171,817,639 is 522063.
Find LCM of 387,639,171,817,639 with Prime Factorization
3 | 387, 639, 171, 817, 639 |
3 | 129, 213, 57, 817, 213 |
19 | 43, 71, 19, 817, 71 |
43 | 43, 71, 1, 43, 71 |
71 | 1, 71, 1, 1, 71 |
1, 1, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 19 x 43 x 71 x 1 x 1 x 1 x 1 x 1 = 522063
Therefore, the lowest common multiple of 387,639,171,817,639 is 522063.
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.
387 x 639 x 171 x 817 x 639 = 22076531853489
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.
387 : 1, 3, 9, 43, 129, 387
639 : 1, 3, 9, 71, 213, 639
171 : 1, 3, 9, 19, 57, 171
817 : 1, 19, 43, 817
639 : 1, 3, 9, 71, 213, 639
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,639,171,817,639, is 1.
Now, the common factors can be found like this.
387:3x 3x 43
639:3x 3x 71
171:3x 3x 19
817:19x 43
639:3x 3x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3x 3x 19x 43x 71 = 42287103
Therefore, the value for common factors is 42287103.
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 = 22076531853489/(1x42287103)
LCM = 22076531853489/42287103
LCM = 522063
Thus, we can understand that the LCM of 387,639,171,817,639 is 522063.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 387, 639, 171, 817, 639?
Answer: LCM of 387, 639, 171, 817, 639 is 522063.
2. How to calculate the LCM of 387, 639, 171, 817, 639?
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 387, 639, 171, 817, 639.
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}.