Find the LCM of 169, 504, 348, 899, 606 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 169, 504, 348, 899, 606. So, keep reading to learn more.
Given numbers are 169,504,348,899,606
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,504,348,899,606 is 7733895624.
Find LCM of 169,504,348,899,606 with Prime Factorization
2 | 169, 504, 348, 899, 606 |
2 | 169, 252, 174, 899, 303 |
3 | 169, 126, 87, 899, 303 |
29 | 169, 42, 29, 899, 101 |
169, 42, 1, 31, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 169 x 42 x 1 x 31 x 101 = 7733895624
Therefore, the lowest common multiple of 169,504,348,899,606 is 7733895624.
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.
169 x 504 x 348 x 899 x 606 = 16148374062912
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.
169 : 1, 13, 169
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
899 : 1, 29, 31, 899
606 : 1, 2, 3, 6, 101, 202, 303, 606
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,504,348,899,606, is 1.
Now, the common factors can be found like this.
169:13x 13
504:2x 2x 2x 3x 3x 7
348:2x 2x 3x 29
899:29x 31
606:2x 3x 101
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 3x 3x 29 = 2088
Therefore, the value for common factors is 2088.
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 = 16148374062912/(1x2088)
LCM = 16148374062912/2088
LCM = 7733895624
Thus, we can understand that the LCM of 169,504,348,899,606 is 7733895624.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 169, 504, 348, 899, 606?
Answer: LCM of 169, 504, 348, 899, 606 is 7733895624.
2. How to calculate the LCM of 169, 504, 348, 899, 606?
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 169, 504, 348, 899, 606.
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}.