LCM of 979, 720, 399, 600, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 979, 720, 399, 600, 414 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 979, 720, 399, 600, 414. So, keep reading to learn more.
Given numbers are 979,720,399,600,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,720,399,600,414 is 10781139600.
Find LCM of 979,720,399,600,414 with Prime Factorization
| 2 | 979, 720, 399, 600, 414 |
| 2 | 979, 360, 399, 300, 207 |
| 2 | 979, 180, 399, 150, 207 |
| 3 | 979, 90, 399, 75, 207 |
| 3 | 979, 30, 133, 25, 69 |
| 5 | 979, 10, 133, 25, 23 |
| 979, 2, 133, 5, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 979 x 2 x 133 x 5 x 23 = 10781139600
Therefore, the lowest common multiple of 979,720,399,600,414 is 10781139600.
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.
979 x 720 x 399 x 600 x 414 = 69861784608000
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.
979 : 1, 11, 89, 979
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
399 : 1, 3, 7, 19, 21, 57, 133, 399
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,720,399,600,414, is 1.
Now, the common factors can be found like this.
979:11x 89
720:2x 2x 2x 2x 3x 3x 5
399:3x 7x 19
600:2x 2x 2x 3x 5x 5
414:2x 3x 3x 23
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 3x 3x 5 = 6480
Therefore, the value for common factors is 6480.
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 = 69861784608000/(1x6480)
LCM = 69861784608000/6480
LCM = 10781139600
Thus, we can understand that the LCM of 979,720,399,600,414 is 10781139600.
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FAQs on LCM of 979, 720, 399, 600, 414
1. What is the LCM of 979, 720, 399, 600, 414?
Answer: LCM of 979, 720, 399, 600, 414 is 10781139600.
2. How to calculate the LCM of 979, 720, 399, 600, 414?
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 979, 720, 399, 600, 414.
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}.