Find the LCM of 957, 812, 911, 455, 509 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 957, 812, 911, 455, 509. So, keep reading to learn more.
Given numbers are 957,812,911,455,509
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,812,911,455,509 is 807643096260.
Find LCM of 957,812,911,455,509 with Prime Factorization
7 | 957, 812, 911, 455, 509 |
29 | 957, 116, 911, 65, 509 |
33, 4, 911, 65, 509 |
Multiply the prime numbers at the bottom and the left side.
7 x 29 x 33 x 4 x 911 x 65 x 509 = 807643096260
Therefore, the lowest common multiple of 957,812,911,455,509 is 807643096260.
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.
957 x 812 x 911 x 455 x 509 = 163951548540780
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.
957 : 1, 3, 11, 29, 33, 87, 319, 957
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
911 : 1, 911
455 : 1, 5, 7, 13, 35, 65, 91, 455
509 : 1, 509
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,812,911,455,509, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
812:2x 2x 7x 29
911:911
455:5x 7x 13
509:509
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 29 = 203
Therefore, the value for common factors is 203.
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 = 163951548540780/(1x203)
LCM = 163951548540780/203
LCM = 807643096260
Thus, we can understand that the LCM of 957,812,911,455,509 is 807643096260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 957, 812, 911, 455, 509?
Answer: LCM of 957, 812, 911, 455, 509 is 807643096260.
2. How to calculate the LCM of 957, 812, 911, 455, 509?
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 957, 812, 911, 455, 509.
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}.