Find the LCM of 920, 684, 608, 174, 601 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 920, 684, 608, 174, 601. So, keep reading to learn more.
Given numbers are 920,684,608,174,601
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 920,684,608,174,601 is 10967721120.
Find LCM of 920,684,608,174,601 with Prime Factorization
2 | 920, 684, 608, 174, 601 |
2 | 460, 342, 304, 87, 601 |
2 | 230, 171, 152, 87, 601 |
3 | 115, 171, 76, 87, 601 |
19 | 115, 57, 76, 29, 601 |
115, 3, 4, 29, 601 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 115 x 3 x 4 x 29 x 601 = 10967721120
Therefore, the lowest common multiple of 920,684,608,174,601 is 10967721120.
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.
920 x 684 x 608 x 174 x 601 = 40010246645760
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.
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
174 : 1, 2, 3, 6, 29, 58, 87, 174
601 : 1, 601
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,684,608,174,601, is 1.
Now, the common factors can be found like this.
920:2x 2x 2x 5x 23
684:2x 2x 3x 3x 19
608:2x 2x 2x 2x 2x 19
174:2x 3x 29
601:601
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 2x 3x 19 = 3648
Therefore, the value for common factors is 3648.
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 = 40010246645760/(1x3648)
LCM = 40010246645760/3648
LCM = 10967721120
Thus, we can understand that the LCM of 920,684,608,174,601 is 10967721120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 920, 684, 608, 174, 601?
Answer: LCM of 920, 684, 608, 174, 601 is 10967721120.
2. How to calculate the LCM of 920, 684, 608, 174, 601?
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 920, 684, 608, 174, 601.
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}.