LCM of 783, 459, 726, 232, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 783, 459, 726, 232, 342 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 783, 459, 726, 232, 342. So, keep reading to learn more.
Given numbers are 783,459,726,232,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 783,459,726,232,342 is 244815912.
Find LCM of 783,459,726,232,342 with Prime Factorization
| 2 | 783, 459, 726, 232, 342 |
| 3 | 783, 459, 363, 116, 171 |
| 3 | 261, 153, 121, 116, 57 |
| 3 | 87, 51, 121, 116, 19 |
| 29 | 29, 17, 121, 116, 19 |
| 1, 17, 121, 4, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 29 x 1 x 17 x 121 x 4 x 19 = 244815912
Therefore, the lowest common multiple of 783,459,726,232,342 is 244815912.
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.
783 x 459 x 726 x 232 x 342 = 20702612782368
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.
783 : 1, 3, 9, 27, 29, 87, 261, 783
459 : 1, 3, 9, 17, 27, 51, 153, 459
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
232 : 1, 2, 4, 8, 29, 58, 116, 232
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 783,459,726,232,342, is 1.
Now, the common factors can be found like this.
783:3x 3x 3x 29
459:3x 3x 3x 17
726:2x 3x 11x 11
232:2x 2x 2x 29
342:2x 3x 3x 19
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 3x 3x 3x 3x 3x 3x 29 = 84564
Therefore, the value for common factors is 84564.
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 = 20702612782368/(1x84564)
LCM = 20702612782368/84564
LCM = 244815912
Thus, we can understand that the LCM of 783,459,726,232,342 is 244815912.
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FAQs on LCM of 783, 459, 726, 232, 342
1. What is the LCM of 783, 459, 726, 232, 342?
Answer: LCM of 783, 459, 726, 232, 342 is 244815912.
2. How to calculate the LCM of 783, 459, 726, 232, 342?
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 783, 459, 726, 232, 342.
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}.