Find the LCM of 984, 726, 662, 363 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 984, 726, 662, 363. So, keep reading to learn more.
Given numbers are 984,726,662,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 984,726,662,363 is 39410184.
Find LCM of 984,726,662,363 with Prime Factorization
2 | 984, 726, 662, 363 |
3 | 492, 363, 331, 363 |
11 | 164, 121, 331, 121 |
11 | 164, 11, 331, 11 |
164, 1, 331, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 11 x 164 x 1 x 331 x 1 = 39410184
Therefore, the lowest common multiple of 984,726,662,363 is 39410184.
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.
984 x 726 x 662 x 363 = 171670761504
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.
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
662 : 1, 2, 331, 662
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,726,662,363, is 1.
Now, the common factors can be found like this.
984:2x 2x 2x 3x 41
726:2x 3x 11x 11
662:2x 331
363:3x 11x 11
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 3x 3x 11x 11 = 4356
Therefore, the value for common factors is 4356.
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 = 171670761504/(1x4356)
LCM = 171670761504/4356
LCM = 39410184
Thus, we can understand that the LCM of 984,726,662,363 is 39410184.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 984, 726, 662, 363?
Answer: LCM of 984, 726, 662, 363 is 39410184.
2. How to calculate the LCM of 984, 726, 662, 363?
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 984, 726, 662, 363.
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}.