LCM of 985, 345, 199, 577, 821
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 985, 345, 199, 577, 821 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 985, 345, 199, 577, 821. So, keep reading to learn more.
Given numbers are 985,345,199,577,821
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 985,345,199,577,821 is 6407039005095.
Find LCM of 985,345,199,577,821 with Prime Factorization
| 5 | 985, 345, 199, 577, 821 |
| 197, 69, 199, 577, 821 |
Multiply the prime numbers at the bottom and the left side.
5 x 197 x 69 x 199 x 577 x 821 = 6407039005095
Therefore, the lowest common multiple of 985,345,199,577,821 is 6407039005095.
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.
985 x 345 x 199 x 577 x 821 = 32035195025475
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.
985 : 1, 5, 197, 985
345 : 1, 3, 5, 15, 23, 69, 115, 345
199 : 1, 199
577 : 1, 577
821 : 1, 821
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 985,345,199,577,821, is 1.
Now, the common factors can be found like this.
985:5x 197
345:3x 5x 23
199:199
577:577
821:821
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5 = 5
Therefore, the value for common factors is 5.
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 = 32035195025475/(1x5)
LCM = 32035195025475/5
LCM = 6407039005095
Thus, we can understand that the LCM of 985,345,199,577,821 is 6407039005095.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 985, 345, 199, 577, 821
1. What is the LCM of 985, 345, 199, 577, 821?
Answer: LCM of 985, 345, 199, 577, 821 is 6407039005095.
2. How to calculate the LCM of 985, 345, 199, 577, 821?
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 985, 345, 199, 577, 821.
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}.