LCM of 218, 418, 420, 135
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 218, 418, 420, 135 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 218, 418, 420, 135. So, keep reading to learn more.
Given numbers are 218,418,420,135
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 218,418,420,135 is 86112180.
Find LCM of 218,418,420,135 with Prime Factorization
| 2 | 218, 418, 420, 135 |
| 3 | 109, 209, 210, 135 |
| 5 | 109, 209, 70, 45 |
| 109, 209, 14, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 109 x 209 x 14 x 9 = 86112180
Therefore, the lowest common multiple of 218,418,420,135 is 86112180.
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.
218 x 418 x 420 x 135 = 5166730800
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.
218 : 1, 2, 109, 218
418 : 1, 2, 11, 19, 22, 38, 209, 418
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
135 : 1, 3, 5, 9, 15, 27, 45, 135
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,418,420,135, is 1.
Now, the common factors can be found like this.
218:2x 109
418:2x 11x 19
420:2x 2x 3x 5x 7
135:3x 3x 3x 5
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 3x 5 = 60
Therefore, the value for common factors is 60.
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 = 5166730800/(1x60)
LCM = 5166730800/60
LCM = 86112180
Thus, we can understand that the LCM of 218,418,420,135 is 86112180.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 218, 418, 420, 135
1. What is the LCM of 218, 418, 420, 135?
Answer: LCM of 218, 418, 420, 135 is 86112180.
2. How to calculate the LCM of 218, 418, 420, 135?
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 218, 418, 420, 135.
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}.