Find the LCM of 159, 820, 616, 841, 928 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 159, 820, 616, 841, 928. So, keep reading to learn more.
Given numbers are 159,820,616,841,928
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 159,820,616,841,928 is 67544141280.
Find LCM of 159,820,616,841,928 with Prime Factorization
2 | 159, 820, 616, 841, 928 |
2 | 159, 410, 308, 841, 464 |
2 | 159, 205, 154, 841, 232 |
29 | 159, 205, 77, 841, 116 |
159, 205, 77, 29, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 29 x 159 x 205 x 77 x 29 x 4 = 67544141280
Therefore, the lowest common multiple of 159,820,616,841,928 is 67544141280.
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.
159 x 820 x 616 x 841 x 928 = 62680963107840
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.
159 : 1, 3, 53, 159
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
841 : 1, 29, 841
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 159,820,616,841,928, is 1.
Now, the common factors can be found like this.
159:3x 53
820:2x 2x 5x 41
616:2x 2x 2x 7x 11
841:29x 29
928:2x 2x 2x 2x 2x 29
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 2x 2x 29 = 928
Therefore, the value for common factors is 928.
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 = 62680963107840/(1x928)
LCM = 62680963107840/928
LCM = 67544141280
Thus, we can understand that the LCM of 159,820,616,841,928 is 67544141280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 159, 820, 616, 841, 928?
Answer: LCM of 159, 820, 616, 841, 928 is 67544141280.
2. How to calculate the LCM of 159, 820, 616, 841, 928?
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 159, 820, 616, 841, 928.
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}.