LCM of 120, 979, 972, 713, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 120, 979, 972, 713, 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 120, 979, 972, 713, 414. So, keep reading to learn more.
Given numbers are 120,979,972,713,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 120,979,972,713,414 is 6784822440.
Find LCM of 120,979,972,713,414 with Prime Factorization
| 2 | 120, 979, 972, 713, 414 |
| 2 | 60, 979, 486, 713, 207 |
| 3 | 30, 979, 243, 713, 207 |
| 3 | 10, 979, 81, 713, 69 |
| 23 | 10, 979, 27, 713, 23 |
| 10, 979, 27, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 23 x 10 x 979 x 27 x 31 x 1 = 6784822440
Therefore, the lowest common multiple of 120,979,972,713,414 is 6784822440.
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.
120 x 979 x 972 x 713 x 414 = 33706997881920
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.
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
979 : 1, 11, 89, 979
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
713 : 1, 23, 31, 713
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 120,979,972,713,414, is 1.
Now, the common factors can be found like this.
120:2x 2x 2x 3x 5
979:11x 89
972:2x 2x 3x 3x 3x 3x 3
713:23x 31
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 3x 3x 3x 23 = 4968
Therefore, the value for common factors is 4968.
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 = 33706997881920/(1x4968)
LCM = 33706997881920/4968
LCM = 6784822440
Thus, we can understand that the LCM of 120,979,972,713,414 is 6784822440.
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FAQs on LCM of 120, 979, 972, 713, 414
1. What is the LCM of 120, 979, 972, 713, 414?
Answer: LCM of 120, 979, 972, 713, 414 is 6784822440.
2. How to calculate the LCM of 120, 979, 972, 713, 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 120, 979, 972, 713, 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}.