LCM of 991, 989, 172, 316, 301
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 991, 989, 172, 316, 301 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 991, 989, 172, 316, 301. So, keep reading to learn more.
Given numbers are 991,989,172,316,301
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 991,989,172,316,301 is 2167978988.
Find LCM of 991,989,172,316,301 with Prime Factorization
| 2 | 991, 989, 172, 316, 301 |
| 2 | 991, 989, 86, 158, 301 |
| 43 | 991, 989, 43, 79, 301 |
| 991, 23, 1, 79, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 43 x 991 x 23 x 1 x 79 x 7 = 2167978988
Therefore, the lowest common multiple of 991,989,172,316,301 is 2167978988.
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.
991 x 989 x 172 x 316 x 301 = 16034372595248
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.
991 : 1, 991
989 : 1, 23, 43, 989
172 : 1, 2, 4, 43, 86, 172
316 : 1, 2, 4, 79, 158, 316
301 : 1, 7, 43, 301
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 991,989,172,316,301, is 1.
Now, the common factors can be found like this.
991:991
989:23x 43
172:2x 2x 43
316:2x 2x 79
301:7x 43
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 43x 43 = 7396
Therefore, the value for common factors is 7396.
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 = 16034372595248/(1x7396)
LCM = 16034372595248/7396
LCM = 2167978988
Thus, we can understand that the LCM of 991,989,172,316,301 is 2167978988.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 991, 989, 172, 316, 301
1. What is the LCM of 991, 989, 172, 316, 301?
Answer: LCM of 991, 989, 172, 316, 301 is 2167978988.
2. How to calculate the LCM of 991, 989, 172, 316, 301?
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 991, 989, 172, 316, 301.
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}.