Find the LCM of 722, 386, 633, 546 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 722, 386, 633, 546. So, keep reading to learn more.
Given numbers are 722,386,633,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,386,633,546 is 8026747638.
Find LCM of 722,386,633,546 with Prime Factorization
2 | 722, 386, 633, 546 |
3 | 361, 193, 633, 273 |
361, 193, 211, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 361 x 193 x 211 x 91 = 8026747638
Therefore, the lowest common multiple of 722,386,633,546 is 8026747638.
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.
722 x 386 x 633 x 546 = 96320971656
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.
722 : 1, 2, 19, 38, 361, 722
386 : 1, 2, 193, 386
633 : 1, 3, 211, 633
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,386,633,546, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
386:2x 193
633:3x 211
546:2x 3x 7x 13
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 3 = 12
Therefore, the value for common factors is 12.
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 = 96320971656/(1x12)
LCM = 96320971656/12
LCM = 8026747638
Thus, we can understand that the LCM of 722,386,633,546 is 8026747638.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 722, 386, 633, 546?
Answer: LCM of 722, 386, 633, 546 is 8026747638.
2. How to calculate the LCM of 722, 386, 633, 546?
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 722, 386, 633, 546.
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}.