Find the LCM of 905, 360, 822, 507, 904 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 905, 360, 822, 507, 904. So, keep reading to learn more.
Given numbers are 905,360,822,507,904
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 905,360,822,507,904 is 170477391240.
Find LCM of 905,360,822,507,904 with Prime Factorization
2 | 905, 360, 822, 507, 904 |
2 | 905, 180, 411, 507, 452 |
2 | 905, 90, 411, 507, 226 |
3 | 905, 45, 411, 507, 113 |
5 | 905, 15, 137, 169, 113 |
181, 3, 137, 169, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 181 x 3 x 137 x 169 x 113 = 170477391240
Therefore, the lowest common multiple of 905,360,822,507,904 is 170477391240.
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.
905 x 360 x 822 x 507 x 904 = 122743721692800
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.
905 : 1, 5, 181, 905
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
822 : 1, 2, 3, 6, 137, 274, 411, 822
507 : 1, 3, 13, 39, 169, 507
904 : 1, 2, 4, 8, 113, 226, 452, 904
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,360,822,507,904, is 1.
Now, the common factors can be found like this.
905:5x 181
360:2x 2x 2x 3x 3x 5
822:2x 3x 137
507:3x 13x 13
904:2x 2x 2x 113
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 2x 3x 3x 5 = 720
Therefore, the value for common factors is 720.
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 = 122743721692800/(1x720)
LCM = 122743721692800/720
LCM = 170477391240
Thus, we can understand that the LCM of 905,360,822,507,904 is 170477391240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 905, 360, 822, 507, 904?
Answer: LCM of 905, 360, 822, 507, 904 is 170477391240.
2. How to calculate the LCM of 905, 360, 822, 507, 904?
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 905, 360, 822, 507, 904.
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}.