LCM of 836, 336, 135, 155, 437
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 836, 336, 135, 155, 437 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 836, 336, 135, 155, 437. So, keep reading to learn more.
Given numbers are 836,336,135,155,437
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 836,336,135,155,437 is 2253137040.
Find LCM of 836,336,135,155,437 with Prime Factorization
| 2 | 836, 336, 135, 155, 437 |
| 2 | 418, 168, 135, 155, 437 |
| 3 | 209, 84, 135, 155, 437 |
| 5 | 209, 28, 45, 155, 437 |
| 19 | 209, 28, 9, 31, 437 |
| 11, 28, 9, 31, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 19 x 11 x 28 x 9 x 31 x 23 = 2253137040
Therefore, the lowest common multiple of 836,336,135,155,437 is 2253137040.
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.
836 x 336 x 135 x 155 x 437 = 2568576225600
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.
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
135 : 1, 3, 5, 9, 15, 27, 45, 135
155 : 1, 5, 31, 155
437 : 1, 19, 23, 437
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,336,135,155,437, is 1.
Now, the common factors can be found like this.
836:2x 2x 11x 19
336:2x 2x 2x 2x 3x 7
135:3x 3x 3x 5
155:5x 31
437:19x 23
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 5x 19 = 1140
Therefore, the value for common factors is 1140.
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 = 2568576225600/(1x1140)
LCM = 2568576225600/1140
LCM = 2253137040
Thus, we can understand that the LCM of 836,336,135,155,437 is 2253137040.
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FAQs on LCM of 836, 336, 135, 155, 437
1. What is the LCM of 836, 336, 135, 155, 437?
Answer: LCM of 836, 336, 135, 155, 437 is 2253137040.
2. How to calculate the LCM of 836, 336, 135, 155, 437?
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 836, 336, 135, 155, 437.
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}.