LCM of 120, 135, 169, 507, 170
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 120, 135, 169, 507, 170 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 120, 135, 169, 507, 170. So, keep reading to learn more.
Given numbers are 120,135,169,507,170
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 120,135,169,507,170 is 3102840.
Find LCM of 120,135,169,507,170 with Prime Factorization
| 2 | 120, 135, 169, 507, 170 |
| 3 | 60, 135, 169, 507, 85 |
| 5 | 20, 45, 169, 169, 85 |
| 13 | 4, 9, 169, 169, 17 |
| 13 | 4, 9, 13, 13, 17 |
| 4, 9, 1, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 13 x 4 x 9 x 1 x 1 x 17 = 3102840
Therefore, the lowest common multiple of 120,135,169,507,170 is 3102840.
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.
120 x 135 x 169 x 507 x 170 = 235970982000
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.
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
135 : 1, 3, 5, 9, 15, 27, 45, 135
169 : 1, 13, 169
507 : 1, 3, 13, 39, 169, 507
170 : 1, 2, 5, 10, 17, 34, 85, 170
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 120,135,169,507,170, is 1.
Now, the common factors can be found like this.
120:2x 2x 2x 3x 5
135:3x 3x 3x 5
169:13x 13
507:3x 13x 13
170:2x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 5x 13x 13 = 76050
Therefore, the value for common factors is 76050.
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 = 235970982000/(1x76050)
LCM = 235970982000/76050
LCM = 3102840
Thus, we can understand that the LCM of 120,135,169,507,170 is 3102840.
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FAQs on LCM of 120, 135, 169, 507, 170
1. What is the LCM of 120, 135, 169, 507, 170?
Answer: LCM of 120, 135, 169, 507, 170 is 3102840.
2. How to calculate the LCM of 120, 135, 169, 507, 170?
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 120, 135, 169, 507, 170.
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}.