LCM of 369, 180, 720, 218, 870
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 369, 180, 720, 218, 870 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 369, 180, 720, 218, 870. So, keep reading to learn more.
Given numbers are 369,180,720,218,870
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 369,180,720,218,870 is 93312720.
Find LCM of 369,180,720,218,870 with Prime Factorization
| 2 | 369, 180, 720, 218, 870 |
| 2 | 369, 90, 360, 109, 435 |
| 3 | 369, 45, 180, 109, 435 |
| 3 | 123, 15, 60, 109, 145 |
| 5 | 41, 5, 20, 109, 145 |
| 41, 1, 4, 109, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 41 x 1 x 4 x 109 x 29 = 93312720
Therefore, the lowest common multiple of 369,180,720,218,870 is 93312720.
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.
369 x 180 x 720 x 218 x 870 = 9069996384000
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.
369 : 1, 3, 9, 41, 123, 369
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
218 : 1, 2, 109, 218
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,180,720,218,870, is 1.
Now, the common factors can be found like this.
369:3x 3x 41
180:2x 2x 3x 3x 5
720:2x 2x 2x 2x 3x 3x 5
218:2x 109
870:2x 3x 5x 29
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 2x 3x 3x 3x 3x 3x 5x 5 = 97200
Therefore, the value for common factors is 97200.
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 = 9069996384000/(1x97200)
LCM = 9069996384000/97200
LCM = 93312720
Thus, we can understand that the LCM of 369,180,720,218,870 is 93312720.
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FAQs on LCM of 369, 180, 720, 218, 870
1. What is the LCM of 369, 180, 720, 218, 870?
Answer: LCM of 369, 180, 720, 218, 870 is 93312720.
2. How to calculate the LCM of 369, 180, 720, 218, 870?
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 369, 180, 720, 218, 870.
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}.