LCM of 986, 213, 889, 706
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 986, 213, 889, 706 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, 213, 889, 706. So, keep reading to learn more.
Given numbers are 986,213,889,706
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,213,889,706 is 65907218706.
Find LCM of 986,213,889,706 with Prime Factorization
| 2 | 986, 213, 889, 706 |
| 493, 213, 889, 353 |
Multiply the prime numbers at the bottom and the left side.
2 x 493 x 213 x 889 x 353 = 65907218706
Therefore, the lowest common multiple of 986,213,889,706 is 65907218706.
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 213 x 889 x 706 = 131814437412
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
213 : 1, 3, 71, 213
889 : 1, 7, 127, 889
706 : 1, 2, 353, 706
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,213,889,706, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
213:3x 71
889:7x 127
706:2x 353
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 131814437412/(1x2)
LCM = 131814437412/2
LCM = 65907218706
Thus, we can understand that the LCM of 986,213,889,706 is 65907218706.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 986, 213, 889, 706
1. What is the LCM of 986, 213, 889, 706?
Answer: LCM of 986, 213, 889, 706 is 65907218706.
2. How to calculate the LCM of 986, 213, 889, 706?
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, 213, 889, 706.
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}.