LCM of 432, 614, 979, 968, 387
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 432, 614, 979, 968, 387 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 432, 614, 979, 968, 387. So, keep reading to learn more.
Given numbers are 432,614,979,968,387
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 432,614,979,968,387 is 61413797808.
Find LCM of 432,614,979,968,387 with Prime Factorization
| 2 | 432, 614, 979, 968, 387 |
| 2 | 216, 307, 979, 484, 387 |
| 2 | 108, 307, 979, 242, 387 |
| 3 | 54, 307, 979, 121, 387 |
| 3 | 18, 307, 979, 121, 129 |
| 11 | 6, 307, 979, 121, 43 |
| 6, 307, 89, 11, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 11 x 6 x 307 x 89 x 11 x 43 = 61413797808
Therefore, the lowest common multiple of 432,614,979,968,387 is 61413797808.
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.
432 x 614 x 979 x 968 x 387 = 97279455727872
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.
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
614 : 1, 2, 307, 614
979 : 1, 11, 89, 979
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
387 : 1, 3, 9, 43, 129, 387
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,614,979,968,387, is 1.
Now, the common factors can be found like this.
432:2x 2x 2x 2x 3x 3x 3
614:2x 307
979:11x 89
968:2x 2x 2x 11x 11
387:3x 3x 43
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 11 = 1584
Therefore, the value for common factors is 1584.
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 = 97279455727872/(1x1584)
LCM = 97279455727872/1584
LCM = 61413797808
Thus, we can understand that the LCM of 432,614,979,968,387 is 61413797808.
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FAQs on LCM of 432, 614, 979, 968, 387
1. What is the LCM of 432, 614, 979, 968, 387?
Answer: LCM of 432, 614, 979, 968, 387 is 61413797808.
2. How to calculate the LCM of 432, 614, 979, 968, 387?
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 432, 614, 979, 968, 387.
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}.