Find the LCM of 722, 243, 970, 476, 459 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 722, 243, 970, 476, 459. So, keep reading to learn more.
Given numbers are 722,243,970,476,459
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,243,970,476,459 is 20251731780.
Find LCM of 722,243,970,476,459 with Prime Factorization
2 | 722, 243, 970, 476, 459 |
3 | 361, 243, 485, 238, 459 |
3 | 361, 81, 485, 238, 153 |
3 | 361, 27, 485, 238, 51 |
17 | 361, 9, 485, 238, 17 |
361, 9, 485, 14, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 17 x 361 x 9 x 485 x 14 x 1 = 20251731780
Therefore, the lowest common multiple of 722,243,970,476,459 is 20251731780.
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.
722 x 243 x 970 x 476 x 459 = 37182179548080
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.
722 : 1, 2, 19, 38, 361, 722
243 : 1, 3, 9, 27, 81, 243
970 : 1, 2, 5, 10, 97, 194, 485, 970
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
459 : 1, 3, 9, 17, 27, 51, 153, 459
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,243,970,476,459, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
243:3x 3x 3x 3x 3
970:2x 5x 97
476:2x 2x 7x 17
459:3x 3x 3x 17
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 17 = 1836
Therefore, the value for common factors is 1836.
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 = 37182179548080/(1x1836)
LCM = 37182179548080/1836
LCM = 20251731780
Thus, we can understand that the LCM of 722,243,970,476,459 is 20251731780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 722, 243, 970, 476, 459?
Answer: LCM of 722, 243, 970, 476, 459 is 20251731780.
2. How to calculate the LCM of 722, 243, 970, 476, 459?
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 722, 243, 970, 476, 459.
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}.