Find the LCM of 795, 984, 346, 117, 522 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 795, 984, 346, 117, 522. So, keep reading to learn more.
Given numbers are 795,984,346,117,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 795,984,346,117,522 is 51021083880.
Find LCM of 795,984,346,117,522 with Prime Factorization
2 | 795, 984, 346, 117, 522 |
3 | 795, 492, 173, 117, 261 |
3 | 265, 164, 173, 39, 87 |
265, 164, 173, 13, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 265 x 164 x 173 x 13 x 29 = 51021083880
Therefore, the lowest common multiple of 795,984,346,117,522 is 51021083880.
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.
795 x 984 x 346 x 117 x 522 = 16530831177120
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.
795 : 1, 3, 5, 15, 53, 159, 265, 795
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
346 : 1, 2, 173, 346
117 : 1, 3, 9, 13, 39, 117
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 795,984,346,117,522, is 1.
Now, the common factors can be found like this.
795:3x 5x 53
984:2x 2x 2x 3x 41
346:2x 173
117:3x 3x 13
522:2x 3x 3x 29
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 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 16530831177120/(1x324)
LCM = 16530831177120/324
LCM = 51021083880
Thus, we can understand that the LCM of 795,984,346,117,522 is 51021083880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 795, 984, 346, 117, 522?
Answer: LCM of 795, 984, 346, 117, 522 is 51021083880.
2. How to calculate the LCM of 795, 984, 346, 117, 522?
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 795, 984, 346, 117, 522.
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}.