LCM of 830, 281, 210, 285, 434
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 830, 281, 210, 285, 434 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 830, 281, 210, 285, 434. So, keep reading to learn more.
Given numbers are 830,281,210,285,434
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 830,281,210,285,434 is 2884821870.
Find LCM of 830,281,210,285,434 with Prime Factorization
| 2 | 830, 281, 210, 285, 434 |
| 3 | 415, 281, 105, 285, 217 |
| 5 | 415, 281, 35, 95, 217 |
| 7 | 83, 281, 7, 19, 217 |
| 83, 281, 1, 19, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 83 x 281 x 1 x 19 x 31 = 2884821870
Therefore, the lowest common multiple of 830,281,210,285,434 is 2884821870.
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.
830 x 281 x 210 x 285 x 434 = 6058125927000
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.
830 : 1, 2, 5, 10, 83, 166, 415, 830
281 : 1, 281
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
285 : 1, 3, 5, 15, 19, 57, 95, 285
434 : 1, 2, 7, 14, 31, 62, 217, 434
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,281,210,285,434, is 1.
Now, the common factors can be found like this.
830:2x 5x 83
281:281
210:2x 3x 5x 7
285:3x 5x 19
434:2x 7x 31
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 7 = 2100
Therefore, the value for common factors is 2100.
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 = 6058125927000/(1x2100)
LCM = 6058125927000/2100
LCM = 2884821870
Thus, we can understand that the LCM of 830,281,210,285,434 is 2884821870.
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FAQs on LCM of 830, 281, 210, 285, 434
1. What is the LCM of 830, 281, 210, 285, 434?
Answer: LCM of 830, 281, 210, 285, 434 is 2884821870.
2. How to calculate the LCM of 830, 281, 210, 285, 434?
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 830, 281, 210, 285, 434.
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}.