Find the LCM of 989, 912, 663, 117, 832 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, 912, 663, 117, 832. So, keep reading to learn more.
Given numbers are 989,912,663,117,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,912,663,117,832 is 2392019136.
Find LCM of 989,912,663,117,832 with Prime Factorization
2 | 989, 912, 663, 117, 832 |
2 | 989, 456, 663, 117, 416 |
2 | 989, 228, 663, 117, 208 |
2 | 989, 114, 663, 117, 104 |
3 | 989, 57, 663, 117, 52 |
13 | 989, 19, 221, 39, 52 |
989, 19, 17, 3, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 13 x 989 x 19 x 17 x 3 x 4 = 2392019136
Therefore, the lowest common multiple of 989,912,663,117,832 is 2392019136.
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 912 x 663 x 117 x 832 = 58212177693696
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
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
663 : 1, 3, 13, 17, 39, 51, 221, 663
117 : 1, 3, 9, 13, 39, 117
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,912,663,117,832, is 1.
Now, the common factors can be found like this.
989:23x 43
912:2x 2x 2x 2x 3x 19
663:3x 13x 17
117:3x 3x 13
832:2x 2x 2x 2x 2x 2x 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 2x 2x 2x 3x 3x 13x 13 = 24336
Therefore, the value for common factors is 24336.
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 = 58212177693696/(1x24336)
LCM = 58212177693696/24336
LCM = 2392019136
Thus, we can understand that the LCM of 989,912,663,117,832 is 2392019136.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 989, 912, 663, 117, 832?
Answer: LCM of 989, 912, 663, 117, 832 is 2392019136.
2. How to calculate the LCM of 989, 912, 663, 117, 832?
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, 912, 663, 117, 832.
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}.