LCM of 852, 715, 120, 459, 202
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 852, 715, 120, 459, 202 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 852, 715, 120, 459, 202. So, keep reading to learn more.
Given numbers are 852,715,120,459,202
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 852,715,120,459,202 is 18827317080.
Find LCM of 852,715,120,459,202 with Prime Factorization
| 2 | 852, 715, 120, 459, 202 |
| 2 | 426, 715, 60, 459, 101 |
| 3 | 213, 715, 30, 459, 101 |
| 5 | 71, 715, 10, 153, 101 |
| 71, 143, 2, 153, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 71 x 143 x 2 x 153 x 101 = 18827317080
Therefore, the lowest common multiple of 852,715,120,459,202 is 18827317080.
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.
852 x 715 x 120 x 459 x 202 = 6777834148800
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.
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
715 : 1, 5, 11, 13, 55, 65, 143, 715
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
459 : 1, 3, 9, 17, 27, 51, 153, 459
202 : 1, 2, 101, 202
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,715,120,459,202, is 1.
Now, the common factors can be found like this.
852:2x 2x 3x 71
715:5x 11x 13
120:2x 2x 2x 3x 5
459:3x 3x 3x 17
202:2x 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 5 = 360
Therefore, the value for common factors is 360.
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 = 6777834148800/(1x360)
LCM = 6777834148800/360
LCM = 18827317080
Thus, we can understand that the LCM of 852,715,120,459,202 is 18827317080.
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FAQs on LCM of 852, 715, 120, 459, 202
1. What is the LCM of 852, 715, 120, 459, 202?
Answer: LCM of 852, 715, 120, 459, 202 is 18827317080.
2. How to calculate the LCM of 852, 715, 120, 459, 202?
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 852, 715, 120, 459, 202.
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}.