Find the LCM of 786, 762, 691, 363, 756 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 786, 762, 691, 363, 756. So, keep reading to learn more.
Given numbers are 786,762,691,363,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 786,762,691,363,756 is 1051623372492.
Find LCM of 786,762,691,363,756 with Prime Factorization
2 | 786, 762, 691, 363, 756 |
3 | 393, 381, 691, 363, 378 |
131, 127, 691, 121, 126 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 131 x 127 x 691 x 121 x 126 = 1051623372492
Therefore, the lowest common multiple of 786,762,691,363,756 is 1051623372492.
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.
786 x 762 x 691 x 363 x 756 = 113575324229136
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.
786 : 1, 2, 3, 6, 131, 262, 393, 786
762 : 1, 2, 3, 6, 127, 254, 381, 762
691 : 1, 691
363 : 1, 3, 11, 33, 121, 363
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,762,691,363,756, is 1.
Now, the common factors can be found like this.
786:2x 3x 131
762:2x 3x 127
691:691
363:3x 11x 11
756:2x 2x 3x 3x 3x 7
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 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 113575324229136/(1x108)
LCM = 113575324229136/108
LCM = 1051623372492
Thus, we can understand that the LCM of 786,762,691,363,756 is 1051623372492.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 786, 762, 691, 363, 756?
Answer: LCM of 786, 762, 691, 363, 756 is 1051623372492.
2. How to calculate the LCM of 786, 762, 691, 363, 756?
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 786, 762, 691, 363, 756.
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}.