LCM of 395, 251, 155, 985, 611
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 395, 251, 155, 985, 611 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 395, 251, 155, 985, 611. So, keep reading to learn more.
Given numbers are 395,251,155,985,611
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 395,251,155,985,611 is 369947372665.
Find LCM of 395,251,155,985,611 with Prime Factorization
| 5 | 395, 251, 155, 985, 611 |
| 79, 251, 31, 197, 611 |
Multiply the prime numbers at the bottom and the left side.
5 x 79 x 251 x 31 x 197 x 611 = 369947372665
Therefore, the lowest common multiple of 395,251,155,985,611 is 369947372665.
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.
395 x 251 x 155 x 985 x 611 = 9248684316625
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.
395 : 1, 5, 79, 395
251 : 1, 251
155 : 1, 5, 31, 155
985 : 1, 5, 197, 985
611 : 1, 13, 47, 611
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,251,155,985,611, is 1.
Now, the common factors can be found like this.
395:5x 79
251:251
155:5x 31
985:5x 197
611:13x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5 = 25
Therefore, the value for common factors is 25.
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 = 9248684316625/(1x25)
LCM = 9248684316625/25
LCM = 369947372665
Thus, we can understand that the LCM of 395,251,155,985,611 is 369947372665.
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FAQs on LCM of 395, 251, 155, 985, 611
1. What is the LCM of 395, 251, 155, 985, 611?
Answer: LCM of 395, 251, 155, 985, 611 is 369947372665.
2. How to calculate the LCM of 395, 251, 155, 985, 611?
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 395, 251, 155, 985, 611.
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}.