Find the LCM of 717, 522, 900, 540, 412 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 717, 522, 900, 540, 412. So, keep reading to learn more.
Given numbers are 717,522,900,540,412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,522,900,540,412 is 1927511100.
Find LCM of 717,522,900,540,412 with Prime Factorization
2 | 717, 522, 900, 540, 412 |
2 | 717, 261, 450, 270, 206 |
3 | 717, 261, 225, 135, 103 |
3 | 239, 87, 75, 45, 103 |
5 | 239, 29, 25, 15, 103 |
239, 29, 5, 3, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 239 x 29 x 5 x 3 x 103 = 1927511100
Therefore, the lowest common multiple of 717,522,900,540,412 is 1927511100.
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.
717 x 522 x 900 x 540 x 412 = 74941631568000
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.
717 : 1, 3, 239, 717
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
412 : 1, 2, 4, 103, 206, 412
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,522,900,540,412, is 1.
Now, the common factors can be found like this.
717:3x 239
522:2x 3x 3x 29
900:2x 2x 3x 3x 5x 5
540:2x 2x 3x 3x 3x 5
412:2x 2x 103
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 2x 2x 2x 3x 3x 3x 3x 3x 5 = 38880
Therefore, the value for common factors is 38880.
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 = 74941631568000/(1x38880)
LCM = 74941631568000/38880
LCM = 1927511100
Thus, we can understand that the LCM of 717,522,900,540,412 is 1927511100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 717, 522, 900, 540, 412?
Answer: LCM of 717, 522, 900, 540, 412 is 1927511100.
2. How to calculate the LCM of 717, 522, 900, 540, 412?
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 717, 522, 900, 540, 412.
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}.