LCM of 736, 999, 863, 952, 459
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 736, 999, 863, 952, 459 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 736, 999, 863, 952, 459. So, keep reading to learn more.
Given numbers are 736,999,863,952,459
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,999,863,952,459 is 75509407008.
Find LCM of 736,999,863,952,459 with Prime Factorization
| 2 | 736, 999, 863, 952, 459 |
| 2 | 368, 999, 863, 476, 459 |
| 2 | 184, 999, 863, 238, 459 |
| 3 | 92, 999, 863, 119, 459 |
| 3 | 92, 333, 863, 119, 153 |
| 3 | 92, 111, 863, 119, 51 |
| 17 | 92, 37, 863, 119, 17 |
| 92, 37, 863, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 17 x 92 x 37 x 863 x 7 x 1 = 75509407008
Therefore, the lowest common multiple of 736,999,863,952,459 is 75509407008.
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.
736 x 999 x 863 x 952 x 459 = 277270542533376
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.
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
999 : 1, 3, 9, 27, 37, 111, 333, 999
863 : 1, 863
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
459 : 1, 3, 9, 17, 27, 51, 153, 459
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,999,863,952,459, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
999:3x 3x 3x 37
863:863
952:2x 2x 2x 7x 17
459:3x 3x 3x 17
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 17 = 3672
Therefore, the value for common factors is 3672.
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 = 277270542533376/(1x3672)
LCM = 277270542533376/3672
LCM = 75509407008
Thus, we can understand that the LCM of 736,999,863,952,459 is 75509407008.
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FAQs on LCM of 736, 999, 863, 952, 459
1. What is the LCM of 736, 999, 863, 952, 459?
Answer: LCM of 736, 999, 863, 952, 459 is 75509407008.
2. How to calculate the LCM of 736, 999, 863, 952, 459?
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 736, 999, 863, 952, 459.
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}.