LCM of 836, 420, 175, 285
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 836, 420, 175, 285 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, 420, 175, 285. So, keep reading to learn more.
Given numbers are 836,420,175,285
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 836,420,175,285 is 438900.
Find LCM of 836,420,175,285 with Prime Factorization
| 2 | 836, 420, 175, 285 |
| 2 | 418, 210, 175, 285 |
| 3 | 209, 105, 175, 285 |
| 5 | 209, 35, 175, 95 |
| 7 | 209, 7, 35, 19 |
| 19 | 209, 1, 5, 19 |
| 11, 1, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 19 x 11 x 1 x 5 x 1 = 438900
Therefore, the lowest common multiple of 836,420,175,285 is 438900.
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 420 x 175 x 285 = 17512110000
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
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
175 : 1, 5, 7, 25, 35, 175
285 : 1, 3, 5, 15, 19, 57, 95, 285
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,420,175,285, is 1.
Now, the common factors can be found like this.
836:2x 2x 11x 19
420:2x 2x 3x 5x 7
175:5x 5x 7
285:3x 5x 19
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 5x 7x 19 = 39900
Therefore, the value for common factors is 39900.
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 = 17512110000/(1x39900)
LCM = 17512110000/39900
LCM = 438900
Thus, we can understand that the LCM of 836,420,175,285 is 438900.
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FAQs on LCM of 836, 420, 175, 285
1. What is the LCM of 836, 420, 175, 285?
Answer: LCM of 836, 420, 175, 285 is 438900.
2. How to calculate the LCM of 836, 420, 175, 285?
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, 420, 175, 285.
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}.