Find the LCM of 713, 392, 726, 820, 465 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 713, 392, 726, 820, 465. So, keep reading to learn more.
Given numbers are 713,392,726,820,465
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 713,392,726,820,465 is 20798694840.
Find LCM of 713,392,726,820,465 with Prime Factorization
2 | 713, 392, 726, 820, 465 |
2 | 713, 196, 363, 410, 465 |
3 | 713, 98, 363, 205, 465 |
5 | 713, 98, 121, 205, 155 |
31 | 713, 98, 121, 41, 31 |
23, 98, 121, 41, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 31 x 23 x 98 x 121 x 41 x 1 = 20798694840
Therefore, the lowest common multiple of 713,392,726,820,465 is 20798694840.
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.
713 x 392 x 726 x 820 x 465 = 77371144804800
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.
713 : 1, 23, 31, 713
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
465 : 1, 3, 5, 15, 31, 93, 155, 465
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,392,726,820,465, is 1.
Now, the common factors can be found like this.
713:23x 31
392:2x 2x 2x 7x 7
726:2x 3x 11x 11
820:2x 2x 5x 41
465:3x 5x 31
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 5x 31 = 3720
Therefore, the value for common factors is 3720.
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 = 77371144804800/(1x3720)
LCM = 77371144804800/3720
LCM = 20798694840
Thus, we can understand that the LCM of 713,392,726,820,465 is 20798694840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 713, 392, 726, 820, 465?
Answer: LCM of 713, 392, 726, 820, 465 is 20798694840.
2. How to calculate the LCM of 713, 392, 726, 820, 465?
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 713, 392, 726, 820, 465.
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}.