Find the LCM of 954, 865, 132, 510, 582 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 954, 865, 132, 510, 582. So, keep reading to learn more.
Given numbers are 954,865,132,510,582
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 954,865,132,510,582 is 29936968380.
Find LCM of 954,865,132,510,582 with Prime Factorization
2 | 954, 865, 132, 510, 582 |
3 | 477, 865, 66, 255, 291 |
5 | 159, 865, 22, 85, 97 |
159, 173, 22, 17, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 159 x 173 x 22 x 17 x 97 = 29936968380
Therefore, the lowest common multiple of 954,865,132,510,582 is 29936968380.
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.
954 x 865 x 132 x 510 x 582 = 32331925850400
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.
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
865 : 1, 5, 173, 865
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
582 : 1, 2, 3, 6, 97, 194, 291, 582
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 954,865,132,510,582, is 1.
Now, the common factors can be found like this.
954:2x 3x 3x 53
865:5x 173
132:2x 2x 3x 11
510:2x 3x 5x 17
582:2x 3x 97
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 3x 3x 3x 5 = 1080
Therefore, the value for common factors is 1080.
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 = 32331925850400/(1x1080)
LCM = 32331925850400/1080
LCM = 29936968380
Thus, we can understand that the LCM of 954,865,132,510,582 is 29936968380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 954, 865, 132, 510, 582?
Answer: LCM of 954, 865, 132, 510, 582 is 29936968380.
2. How to calculate the LCM of 954, 865, 132, 510, 582?
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 954, 865, 132, 510, 582.
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}.