LCM of 144, 400, 639, 979
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 144, 400, 639, 979 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 144, 400, 639, 979. So, keep reading to learn more.
Given numbers are 144,400,639,979
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 144,400,639,979 is 250232400.
Find LCM of 144,400,639,979 with Prime Factorization
| 2 | 144, 400, 639, 979 |
| 2 | 72, 200, 639, 979 |
| 2 | 36, 100, 639, 979 |
| 2 | 18, 50, 639, 979 |
| 3 | 9, 25, 639, 979 |
| 3 | 3, 25, 213, 979 |
| 1, 25, 71, 979 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 1 x 25 x 71 x 979 = 250232400
Therefore, the lowest common multiple of 144,400,639,979 is 250232400.
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.
144 x 400 x 639 x 979 = 36033465600
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.
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
639 : 1, 3, 9, 71, 213, 639
979 : 1, 11, 89, 979
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,400,639,979, is 1.
Now, the common factors can be found like this.
144:2x 2x 2x 2x 3x 3
400:2x 2x 2x 2x 5x 5
639:3x 3x 71
979:11x 89
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 3 = 144
Therefore, the value for common factors is 144.
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 = 36033465600/(1x144)
LCM = 36033465600/144
LCM = 250232400
Thus, we can understand that the LCM of 144,400,639,979 is 250232400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 144, 400, 639, 979
1. What is the LCM of 144, 400, 639, 979?
Answer: LCM of 144, 400, 639, 979 is 250232400.
2. How to calculate the LCM of 144, 400, 639, 979?
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 144, 400, 639, 979.
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}.