LCM of 986, 117, 145, 164
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 986, 117, 145, 164 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, 117, 145, 164. So, keep reading to learn more.
Given numbers are 986,117,145,164
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,117,145,164 is 47298420.
Find LCM of 986,117,145,164 with Prime Factorization
| 2 | 986, 117, 145, 164 |
| 29 | 493, 117, 145, 82 |
| 17, 117, 5, 82 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 17 x 117 x 5 x 82 = 47298420
Therefore, the lowest common multiple of 986,117,145,164 is 47298420.
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 117 x 145 x 164 = 2743308360
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
117 : 1, 3, 9, 13, 39, 117
145 : 1, 5, 29, 145
164 : 1, 2, 4, 41, 82, 164
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,117,145,164, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
117:3x 3x 13
145:5x 29
164:2x 2x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 29 = 58
Therefore, the value for common factors is 58.
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 = 2743308360/(1x58)
LCM = 2743308360/58
LCM = 47298420
Thus, we can understand that the LCM of 986,117,145,164 is 47298420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 986, 117, 145, 164
1. What is the LCM of 986, 117, 145, 164?
Answer: LCM of 986, 117, 145, 164 is 47298420.
2. How to calculate the LCM of 986, 117, 145, 164?
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, 117, 145, 164.
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}.