LCM of 843, 880, 329, 546, 985
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 843, 880, 329, 546, 985 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, 880, 329, 546, 985. So, keep reading to learn more.
Given numbers are 843,880,329,546,985
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,880,329,546,985 is 625051386960.
Find LCM of 843,880,329,546,985 with Prime Factorization
| 2 | 843, 880, 329, 546, 985 |
| 3 | 843, 440, 329, 273, 985 |
| 5 | 281, 440, 329, 91, 985 |
| 7 | 281, 88, 329, 91, 197 |
| 281, 88, 47, 13, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 281 x 88 x 47 x 13 x 197 = 625051386960
Therefore, the lowest common multiple of 843,880,329,546,985 is 625051386960.
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 880 x 329 x 546 x 985 = 131260791261600
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
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
329 : 1, 7, 47, 329
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
985 : 1, 5, 197, 985
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,880,329,546,985, is 1.
Now, the common factors can be found like this.
843:3x 281
880:2x 2x 2x 2x 5x 11
329:7x 47
546:2x 3x 7x 13
985:5x 197
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 5x 7 = 210
Therefore, the value for common factors is 210.
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 = 131260791261600/(1x210)
LCM = 131260791261600/210
LCM = 625051386960
Thus, we can understand that the LCM of 843,880,329,546,985 is 625051386960.
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FAQs on LCM of 843, 880, 329, 546, 985
1. What is the LCM of 843, 880, 329, 546, 985?
Answer: LCM of 843, 880, 329, 546, 985 is 625051386960.
2. How to calculate the LCM of 843, 880, 329, 546, 985?
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, 880, 329, 546, 985.
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}.