Find the LCM of 308, 315, 748, 776, 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 308, 315, 748, 776, 991. So, keep reading to learn more.
Given numbers are 308,315,748,776,991
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,315,748,776,991 is 45298887480.
Find LCM of 308,315,748,776,991 with Prime Factorization
2 | 308, 315, 748, 776, 991 |
2 | 154, 315, 374, 388, 991 |
7 | 77, 315, 187, 194, 991 |
11 | 11, 45, 187, 194, 991 |
1, 45, 17, 194, 991 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 1 x 45 x 17 x 194 x 991 = 45298887480
Therefore, the lowest common multiple of 308,315,748,776,991 is 45298887480.
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.
308 x 315 x 748 x 776 x 991 = 55808229375360
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.
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
776 : 1, 2, 4, 8, 97, 194, 388, 776
991 : 1, 991
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,315,748,776,991, is 1.
Now, the common factors can be found like this.
308:2x 2x 7x 11
315:3x 3x 5x 7
748:2x 2x 11x 17
776:2x 2x 2x 97
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 2x 7x 11 = 1232
Therefore, the value for common factors is 1232.
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 = 55808229375360/(1x1232)
LCM = 55808229375360/1232
LCM = 45298887480
Thus, we can understand that the LCM of 308,315,748,776,991 is 45298887480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 308, 315, 748, 776, 991?
Answer: LCM of 308, 315, 748, 776, 991 is 45298887480.
2. How to calculate the LCM of 308, 315, 748, 776, 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 308, 315, 748, 776, 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}.