LCM of 772, 306, 524, 454, 991
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 772, 306, 524, 454, 991 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 772, 306, 524, 454, 991. So, keep reading to learn more.
Given numbers are 772,306,524,454,991
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 772,306,524,454,991 is 3480803752572.
Find LCM of 772,306,524,454,991 with Prime Factorization
| 2 | 772, 306, 524, 454, 991 |
| 2 | 386, 153, 262, 227, 991 |
| 193, 153, 131, 227, 991 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 193 x 153 x 131 x 227 x 991 = 3480803752572
Therefore, the lowest common multiple of 772,306,524,454,991 is 3480803752572.
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.
772 x 306 x 524 x 454 x 991 = 55692860041152
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.
772 : 1, 2, 4, 193, 386, 772
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
524 : 1, 2, 4, 131, 262, 524
454 : 1, 2, 227, 454
991 : 1, 991
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,306,524,454,991, is 1.
Now, the common factors can be found like this.
772:2x 2x 193
306:2x 3x 3x 17
524:2x 2x 131
454:2x 227
991:991
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 2x 2 = 16
Therefore, the value for common factors is 16.
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 = 55692860041152/(1x16)
LCM = 55692860041152/16
LCM = 3480803752572
Thus, we can understand that the LCM of 772,306,524,454,991 is 3480803752572.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 772, 306, 524, 454, 991
1. What is the LCM of 772, 306, 524, 454, 991?
Answer: LCM of 772, 306, 524, 454, 991 is 3480803752572.
2. How to calculate the LCM of 772, 306, 524, 454, 991?
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 772, 306, 524, 454, 991.
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}.