Find the LCM of 703, 749, 794, 808, 782 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 703, 749, 794, 808, 782. So, keep reading to learn more.
Given numbers are 703,749,794,808,782
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 703,749,794,808,782 is 66041323424552.
Find LCM of 703,749,794,808,782 with Prime Factorization
2 | 703, 749, 794, 808, 782 |
703, 749, 397, 404, 391 |
Multiply the prime numbers at the bottom and the left side.
2 x 703 x 749 x 397 x 404 x 391 = 66041323424552
Therefore, the lowest common multiple of 703,749,794,808,782 is 66041323424552.
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.
703 x 749 x 794 x 808 x 782 = 264165293698208
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.
703 : 1, 19, 37, 703
749 : 1, 7, 107, 749
794 : 1, 2, 397, 794
808 : 1, 2, 4, 8, 101, 202, 404, 808
782 : 1, 2, 17, 23, 34, 46, 391, 782
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,749,794,808,782, is 1.
Now, the common factors can be found like this.
703:19x 37
749:7x 107
794:2x 397
808:2x 2x 2x 101
782:2x 17x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 264165293698208/(1x4)
LCM = 264165293698208/4
LCM = 66041323424552
Thus, we can understand that the LCM of 703,749,794,808,782 is 66041323424552.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 703, 749, 794, 808, 782?
Answer: LCM of 703, 749, 794, 808, 782 is 66041323424552.
2. How to calculate the LCM of 703, 749, 794, 808, 782?
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 703, 749, 794, 808, 782.
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}.