Find the LCM of 782, 122, 634, 642 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, 122, 634, 642. So, keep reading to learn more.
Given numbers are 782,122,634,642
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,122,634,642 is 4854012414.
Find LCM of 782,122,634,642 with Prime Factorization
2 | 782, 122, 634, 642 |
391, 61, 317, 321 |
Multiply the prime numbers at the bottom and the left side.
2 x 391 x 61 x 317 x 321 = 4854012414
Therefore, the lowest common multiple of 782,122,634,642 is 4854012414.
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 122 x 634 x 642 = 38832099312
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
122 : 1, 2, 61, 122
634 : 1, 2, 317, 634
642 : 1, 2, 3, 6, 107, 214, 321, 642
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,122,634,642, is 2.
Now, the common factors can be found like this.
782:2x 17x 23
122:2x 61
634:2x 317
642:2x 3x 107
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 = 38832099312/(2x4)
LCM = 38832099312/8
LCM = 4854012414
Thus, we can understand that the LCM of 782,122,634,642 is 4854012414.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 782, 122, 634, 642?
Answer: LCM of 782, 122, 634, 642 is 4854012414.
2. How to calculate the LCM of 782, 122, 634, 642?
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, 122, 634, 642.
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}.