LCM of 843, 398, 837, 756, 233
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 843, 398, 837, 756, 233 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 843, 398, 837, 756, 233. So, keep reading to learn more.
Given numbers are 843,398,837,756,233
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,398,837,756,233 is 305350620372.
Find LCM of 843,398,837,756,233 with Prime Factorization
| 2 | 843, 398, 837, 756, 233 |
| 3 | 843, 199, 837, 378, 233 |
| 3 | 281, 199, 279, 126, 233 |
| 3 | 281, 199, 93, 42, 233 |
| 281, 199, 31, 14, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 281 x 199 x 31 x 14 x 233 = 305350620372
Therefore, the lowest common multiple of 843,398,837,756,233 is 305350620372.
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.
843 x 398 x 837 x 756 x 233 = 49466800500264
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.
843 : 1, 3, 281, 843
398 : 1, 2, 199, 398
837 : 1, 3, 9, 27, 31, 93, 279, 837
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
233 : 1, 233
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,398,837,756,233, is 1.
Now, the common factors can be found like this.
843:3x 281
398:2x 199
837:3x 3x 3x 31
756:2x 2x 3x 3x 3x 7
233:233
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 49466800500264/(1x162)
LCM = 49466800500264/162
LCM = 305350620372
Thus, we can understand that the LCM of 843,398,837,756,233 is 305350620372.
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FAQs on LCM of 843, 398, 837, 756, 233
1. What is the LCM of 843, 398, 837, 756, 233?
Answer: LCM of 843, 398, 837, 756, 233 is 305350620372.
2. How to calculate the LCM of 843, 398, 837, 756, 233?
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 843, 398, 837, 756, 233.
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}.