LCM of 989, 399, 893, 646, 448
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 989, 399, 893, 646, 448 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, 399, 893, 646, 448. So, keep reading to learn more.
Given numbers are 989,399,893,646,448
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,399,893,646,448 is 20178828096.
Find LCM of 989,399,893,646,448 with Prime Factorization
| 2 | 989, 399, 893, 646, 448 |
| 7 | 989, 399, 893, 323, 224 |
| 19 | 989, 57, 893, 323, 32 |
| 989, 3, 47, 17, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 19 x 989 x 3 x 47 x 17 x 32 = 20178828096
Therefore, the lowest common multiple of 989,399,893,646,448 is 20178828096.
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 399 x 893 x 646 x 448 = 101983797197184
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
399 : 1, 3, 7, 19, 21, 57, 133, 399
893 : 1, 19, 47, 893
646 : 1, 2, 17, 19, 34, 38, 323, 646
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,399,893,646,448, is 1.
Now, the common factors can be found like this.
989:23x 43
399:3x 7x 19
893:19x 47
646:2x 17x 19
448:2x 2x 2x 2x 2x 2x 7
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 19x 19 = 5054
Therefore, the value for common factors is 5054.
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 = 101983797197184/(1x5054)
LCM = 101983797197184/5054
LCM = 20178828096
Thus, we can understand that the LCM of 989,399,893,646,448 is 20178828096.
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FAQs on LCM of 989, 399, 893, 646, 448
1. What is the LCM of 989, 399, 893, 646, 448?
Answer: LCM of 989, 399, 893, 646, 448 is 20178828096.
2. How to calculate the LCM of 989, 399, 893, 646, 448?
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, 399, 893, 646, 448.
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}.