Find the LCM of 989, 745, 544, 559, 910 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, 745, 544, 559, 910. So, keep reading to learn more.
Given numbers are 989,745,544,559,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,745,544,559,910 is 36474794720.
Find LCM of 989,745,544,559,910 with Prime Factorization
2 | 989, 745, 544, 559, 910 |
5 | 989, 745, 272, 559, 455 |
13 | 989, 149, 272, 559, 91 |
43 | 989, 149, 272, 43, 7 |
23, 149, 272, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 43 x 23 x 149 x 272 x 1 x 7 = 36474794720
Therefore, the lowest common multiple of 989,745,544,559,910 is 36474794720.
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 745 x 544 x 559 x 910 = 203894102484800
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
745 : 1, 5, 149, 745
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
559 : 1, 13, 43, 559
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,745,544,559,910, is 1.
Now, the common factors can be found like this.
989:23x 43
745:5x 149
544:2x 2x 2x 2x 2x 17
559:13x 43
910:2x 5x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13x 43 = 5590
Therefore, the value for common factors is 5590.
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 = 203894102484800/(1x5590)
LCM = 203894102484800/5590
LCM = 36474794720
Thus, we can understand that the LCM of 989,745,544,559,910 is 36474794720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 989, 745, 544, 559, 910?
Answer: LCM of 989, 745, 544, 559, 910 is 36474794720.
2. How to calculate the LCM of 989, 745, 544, 559, 910?
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, 745, 544, 559, 910.
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}.