Find the LCM of 782, 846, 431, 431 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 782, 846, 431, 431. So, keep reading to learn more.
Given numbers are 782,846,431,431
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,846,431,431 is 142568766.
Find LCM of 782,846,431,431 with Prime Factorization
2 | 782, 846, 431, 431 |
431 | 391, 423, 431, 431 |
391, 423, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 431 x 391 x 423 x 1 x 1 = 142568766
Therefore, the lowest common multiple of 782,846,431,431 is 142568766.
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.
782 x 846 x 431 x 431 = 122894276292
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
431 : 1, 431
431 : 1, 431
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,846,431,431, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
846:2x 3x 3x 47
431:431
431:431
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 431 = 862
Therefore, the value for common factors is 862.
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 = 122894276292/(1x862)
LCM = 122894276292/862
LCM = 142568766
Thus, we can understand that the LCM of 782,846,431,431 is 142568766.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 782, 846, 431, 431?
Answer: LCM of 782, 846, 431, 431 is 142568766.
2. How to calculate the LCM of 782, 846, 431, 431?
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 782, 846, 431, 431.
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}.