Find the LCM of 513, 797, 182, 836, 420 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 513, 797, 182, 836, 420. So, keep reading to learn more.
Given numbers are 513,797,182,836,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,797,182,836,420 is 8185397220.
Find LCM of 513,797,182,836,420 with Prime Factorization
2 | 513, 797, 182, 836, 420 |
2 | 513, 797, 91, 418, 210 |
3 | 513, 797, 91, 209, 105 |
7 | 171, 797, 91, 209, 35 |
19 | 171, 797, 13, 209, 5 |
9, 797, 13, 11, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 19 x 9 x 797 x 13 x 11 x 5 = 8185397220
Therefore, the lowest common multiple of 513,797,182,836,420 is 8185397220.
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.
513 x 797 x 182 x 836 x 420 = 26127787926240
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
797 : 1, 797
182 : 1, 2, 7, 13, 14, 26, 91, 182
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,797,182,836,420, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
797:797
182:2x 7x 13
836:2x 2x 11x 19
420:2x 2x 3x 5x 7
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 7x 19 = 3192
Therefore, the value for common factors is 3192.
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 = 26127787926240/(1x3192)
LCM = 26127787926240/3192
LCM = 8185397220
Thus, we can understand that the LCM of 513,797,182,836,420 is 8185397220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 513, 797, 182, 836, 420?
Answer: LCM of 513, 797, 182, 836, 420 is 8185397220.
2. How to calculate the LCM of 513, 797, 182, 836, 420?
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 513, 797, 182, 836, 420.
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}.