LCM of 341, 372, 812, 620, 995
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 341, 372, 812, 620, 995 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 341, 372, 812, 620, 995. So, keep reading to learn more.
Given numbers are 341,372,812,620,995
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 341,372,812,620,995 is 826522620.
Find LCM of 341,372,812,620,995 with Prime Factorization
| 2 | 341, 372, 812, 620, 995 |
| 2 | 341, 186, 406, 310, 995 |
| 5 | 341, 93, 203, 155, 995 |
| 31 | 341, 93, 203, 31, 199 |
| 11, 3, 203, 1, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 31 x 11 x 3 x 203 x 1 x 199 = 826522620
Therefore, the lowest common multiple of 341,372,812,620,995 is 826522620.
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.
341 x 372 x 812 x 620 x 995 = 63543059025600
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.
341 : 1, 11, 31, 341
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
995 : 1, 5, 199, 995
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,372,812,620,995, is 1.
Now, the common factors can be found like this.
341:11x 31
372:2x 2x 3x 31
812:2x 2x 7x 29
620:2x 2x 5x 31
995:5x 199
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 2x 2x 5x 31x 31 = 76880
Therefore, the value for common factors is 76880.
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 = 63543059025600/(1x76880)
LCM = 63543059025600/76880
LCM = 826522620
Thus, we can understand that the LCM of 341,372,812,620,995 is 826522620.
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FAQs on LCM of 341, 372, 812, 620, 995
1. What is the LCM of 341, 372, 812, 620, 995?
Answer: LCM of 341, 372, 812, 620, 995 is 826522620.
2. How to calculate the LCM of 341, 372, 812, 620, 995?
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 341, 372, 812, 620, 995.
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}.