LCM of 169, 390, 905, 756, 168
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 390, 905, 756, 168 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, 390, 905, 756, 168. So, keep reading to learn more.
Given numbers are 169,390,905,756,168
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,390,905,756,168 is 231252840.
Find LCM of 169,390,905,756,168 with Prime Factorization
| 2 | 169, 390, 905, 756, 168 |
| 2 | 169, 195, 905, 378, 84 |
| 3 | 169, 195, 905, 189, 42 |
| 5 | 169, 65, 905, 63, 14 |
| 7 | 169, 13, 181, 63, 14 |
| 13 | 169, 13, 181, 9, 2 |
| 1, 13, 181, 9, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 13 x 1 x 13 x 181 x 9 x 2 = 231252840
Therefore, the lowest common multiple of 169,390,905,756,168 is 231252840.
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 390 x 905 x 756 x 168 = 7575843038400
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
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
905 : 1, 5, 181, 905
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,390,905,756,168, is 1.
Now, the common factors can be found like this.
169:13x 13
390:2x 3x 5x 13
905:5x 181
756:2x 2x 3x 3x 3x 7
168:2x 2x 2x 3x 7
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 5x 7x 13 = 32760
Therefore, the value for common factors is 32760.
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 = 7575843038400/(1x32760)
LCM = 7575843038400/32760
LCM = 231252840
Thus, we can understand that the LCM of 169,390,905,756,168 is 231252840.
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FAQs on LCM of 169, 390, 905, 756, 168
1. What is the LCM of 169, 390, 905, 756, 168?
Answer: LCM of 169, 390, 905, 756, 168 is 231252840.
2. How to calculate the LCM of 169, 390, 905, 756, 168?
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, 390, 905, 756, 168.
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}.