LCM of 135, 195, 702
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 135, 195, 702 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 135, 195, 702. So, keep reading to learn more.
Given numbers are 135,195,702
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 135,195,702 is 3510.
Find LCM of 135,195,702 with Prime Factorization
| 3 | 135, 195, 702 |
| 3 | 45, 65, 234 |
| 3 | 15, 65, 78 |
| 5 | 5, 65, 26 |
| 13 | 1, 13, 26 |
| 1, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 13 x 1 x 1 x 2 = 3510
Therefore, the lowest common multiple of 135,195,702 is 3510.
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.
135 x 195 x 702 = 18480150
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.
135 : 1, 3, 5, 9, 15, 27, 45, 135
195 : 1, 3, 5, 13, 15, 39, 65, 195
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,195,702, is 3.
Now, the common factors can be found like this.
135:3x 3x 3x 5
195:3x 5x 13
702:2x 3x 3x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 13 = 1755
Therefore, the value for common factors is 1755.
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 = 18480150/(3x1755)
LCM = 18480150/5265
LCM = 3510
Thus, we can understand that the LCM of 135,195,702 is 3510.
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FAQs on LCM of 135, 195, 702
1. What is the LCM of 135, 195, 702?
Answer: LCM of 135, 195, 702 is 3510.
2. How to calculate the LCM of 135, 195, 702?
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 135, 195, 702.
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}.