LCM of 989, 138, 105, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 989, 138, 105, 704 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, 138, 105, 704. So, keep reading to learn more.
Given numbers are 989,138,105,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,138,105,704 is 73106880.
Find LCM of 989,138,105,704 with Prime Factorization
| 2 | 989, 138, 105, 704 |
| 3 | 989, 69, 105, 352 |
| 23 | 989, 23, 35, 352 |
| 43, 1, 35, 352 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 43 x 1 x 35 x 352 = 73106880
Therefore, the lowest common multiple of 989,138,105,704 is 73106880.
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 138 x 105 x 704 = 10088749440
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
138 : 1, 2, 3, 6, 23, 46, 69, 138
105 : 1, 3, 5, 7, 15, 21, 35, 105
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,138,105,704, is 1.
Now, the common factors can be found like this.
989:23x 43
138:2x 3x 23
105:3x 5x 7
704:2x 2x 2x 2x 2x 2x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 23 = 138
Therefore, the value for common factors is 138.
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 = 10088749440/(1x138)
LCM = 10088749440/138
LCM = 73106880
Thus, we can understand that the LCM of 989,138,105,704 is 73106880.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 989, 138, 105, 704
1. What is the LCM of 989, 138, 105, 704?
Answer: LCM of 989, 138, 105, 704 is 73106880.
2. How to calculate the LCM of 989, 138, 105, 704?
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, 138, 105, 704.
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}.