LCM of 991, 189, 791, 278
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 991, 189, 791, 278 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, 189, 791, 278. So, keep reading to learn more.
Given numbers are 991,189,791,278
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 991,189,791,278 is 5883810786.
Find LCM of 991,189,791,278 with Prime Factorization
| 7 | 991, 189, 791, 278 |
| 991, 27, 113, 278 |
Multiply the prime numbers at the bottom and the left side.
7 x 991 x 27 x 113 x 278 = 5883810786
Therefore, the lowest common multiple of 991,189,791,278 is 5883810786.
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 189 x 791 x 278 = 41186675502
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
189 : 1, 3, 7, 9, 21, 27, 63, 189
791 : 1, 7, 113, 791
278 : 1, 2, 139, 278
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 991,189,791,278, is 1.
Now, the common factors can be found like this.
991:991
189:3x 3x 3x 7
791:7x 113
278:2x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7 = 7
Therefore, the value for common factors is 7.
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 = 41186675502/(1x7)
LCM = 41186675502/7
LCM = 5883810786
Thus, we can understand that the LCM of 991,189,791,278 is 5883810786.
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, 189, 791, 278
1. What is the LCM of 991, 189, 791, 278?
Answer: LCM of 991, 189, 791, 278 is 5883810786.
2. How to calculate the LCM of 991, 189, 791, 278?
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, 189, 791, 278.
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}.