Find the LCM of 691, 992, 107, 651, 924 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 691, 992, 107, 651, 924. So, keep reading to learn more.
Given numbers are 691,992,107,651,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 691,992,107,651,924 is 16942811424.
Find LCM of 691,992,107,651,924 with Prime Factorization
2 | 691, 992, 107, 651, 924 |
2 | 691, 496, 107, 651, 462 |
3 | 691, 248, 107, 651, 231 |
7 | 691, 248, 107, 217, 77 |
31 | 691, 248, 107, 31, 11 |
691, 8, 107, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 31 x 691 x 8 x 107 x 1 x 11 = 16942811424
Therefore, the lowest common multiple of 691,992,107,651,924 is 16942811424.
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.
691 x 992 x 107 x 651 x 924 = 44119080948096
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.
691 : 1, 691
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
107 : 1, 107
651 : 1, 3, 7, 21, 31, 93, 217, 651
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 691,992,107,651,924, is 1.
Now, the common factors can be found like this.
691:691
992:2x 2x 2x 2x 2x 31
107:107
651:3x 7x 31
924:2x 2x 3x 7x 11
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 3x 7x 31 = 2604
Therefore, the value for common factors is 2604.
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 = 44119080948096/(1x2604)
LCM = 44119080948096/2604
LCM = 16942811424
Thus, we can understand that the LCM of 691,992,107,651,924 is 16942811424.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 691, 992, 107, 651, 924?
Answer: LCM of 691, 992, 107, 651, 924 is 16942811424.
2. How to calculate the LCM of 691, 992, 107, 651, 924?
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 691, 992, 107, 651, 924.
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}.