Find the LCM of 786, 314, 726, 748, 744 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, 314, 726, 748, 744. So, keep reading to learn more.
Given numbers are 786,314,726,748,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 786,314,726,748,744 is 31475901336.
Find LCM of 786,314,726,748,744 with Prime Factorization
2 | 786, 314, 726, 748, 744 |
2 | 393, 157, 363, 374, 372 |
3 | 393, 157, 363, 187, 186 |
11 | 131, 157, 121, 187, 62 |
131, 157, 11, 17, 62 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 131 x 157 x 11 x 17 x 62 = 31475901336
Therefore, the lowest common multiple of 786,314,726,748,744 is 31475901336.
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 314 x 726 x 748 x 744 = 99715655432448
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
314 : 1, 2, 157, 314
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,314,726,748,744, is 2.
Now, the common factors can be found like this.
786:2x 3x 131
314:2x 157
726:2x 3x 11x 11
748:2x 2x 11x 17
744:2x 2x 2x 3x 31
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 3x 3x 11 = 1584
Therefore, the value for common factors is 1584.
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 = 99715655432448/(2x1584)
LCM = 99715655432448/3168
LCM = 31475901336
Thus, we can understand that the LCM of 786,314,726,748,744 is 31475901336.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 786, 314, 726, 748, 744?
Answer: LCM of 786, 314, 726, 748, 744 is 31475901336.
2. How to calculate the LCM of 786, 314, 726, 748, 744?
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, 314, 726, 748, 744.
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}.