Find the LCM of 989, 722, 483, 824, 805 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 989, 722, 483, 824, 805. So, keep reading to learn more.
Given numbers are 989,722,483,824,805
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,722,483,824,805 is 30890149080.
Find LCM of 989,722,483,824,805 with Prime Factorization
2 | 989, 722, 483, 824, 805 |
7 | 989, 361, 483, 412, 805 |
23 | 989, 361, 69, 412, 115 |
43, 361, 3, 412, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 23 x 43 x 361 x 3 x 412 x 5 = 30890149080
Therefore, the lowest common multiple of 989,722,483,824,805 is 30890149080.
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.
989 x 722 x 483 x 824 x 805 = 228772444086480
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.
989 : 1, 23, 43, 989
722 : 1, 2, 19, 38, 361, 722
483 : 1, 3, 7, 21, 23, 69, 161, 483
824 : 1, 2, 4, 8, 103, 206, 412, 824
805 : 1, 5, 7, 23, 35, 115, 161, 805
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,722,483,824,805, is 1.
Now, the common factors can be found like this.
989:23x 43
722:2x 19x 19
483:3x 7x 23
824:2x 2x 2x 103
805:5x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 23x 23 = 7406
Therefore, the value for common factors is 7406.
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 = 228772444086480/(1x7406)
LCM = 228772444086480/7406
LCM = 30890149080
Thus, we can understand that the LCM of 989,722,483,824,805 is 30890149080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 989, 722, 483, 824, 805?
Answer: LCM of 989, 722, 483, 824, 805 is 30890149080.
2. How to calculate the LCM of 989, 722, 483, 824, 805?
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 989, 722, 483, 824, 805.
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}.