LCM of 986, 255, 561, 606, 331
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 986, 255, 561, 606, 331 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 986, 255, 561, 606, 331. So, keep reading to learn more.
Given numbers are 986,255,561,606,331
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,255,561,606,331 is 5438889390.
Find LCM of 986,255,561,606,331 with Prime Factorization
| 2 | 986, 255, 561, 606, 331 |
| 3 | 493, 255, 561, 303, 331 |
| 17 | 493, 85, 187, 101, 331 |
| 29, 5, 11, 101, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 29 x 5 x 11 x 101 x 331 = 5438889390
Therefore, the lowest common multiple of 986,255,561,606,331 is 5438889390.
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.
986 x 255 x 561 x 606 x 331 = 28293102606780
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.
986 : 1, 2, 17, 29, 34, 58, 493, 986
255 : 1, 3, 5, 15, 17, 51, 85, 255
561 : 1, 3, 11, 17, 33, 51, 187, 561
606 : 1, 2, 3, 6, 101, 202, 303, 606
331 : 1, 331
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,255,561,606,331, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
255:3x 5x 17
561:3x 11x 17
606:2x 3x 101
331:331
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 17x 17 = 5202
Therefore, the value for common factors is 5202.
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 = 28293102606780/(1x5202)
LCM = 28293102606780/5202
LCM = 5438889390
Thus, we can understand that the LCM of 986,255,561,606,331 is 5438889390.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 986, 255, 561, 606, 331
1. What is the LCM of 986, 255, 561, 606, 331?
Answer: LCM of 986, 255, 561, 606, 331 is 5438889390.
2. How to calculate the LCM of 986, 255, 561, 606, 331?
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 986, 255, 561, 606, 331.
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}.