LCM of 514, 152, 684, 836, 829
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 514, 152, 684, 836, 829 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 514, 152, 684, 836, 829. So, keep reading to learn more.
Given numbers are 514,152,684,836,829
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,152,684,836,829 is 3206021544.
Find LCM of 514,152,684,836,829 with Prime Factorization
| 2 | 514, 152, 684, 836, 829 |
| 2 | 257, 76, 342, 418, 829 |
| 19 | 257, 38, 171, 209, 829 |
| 257, 2, 9, 11, 829 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 257 x 2 x 9 x 11 x 829 = 3206021544
Therefore, the lowest common multiple of 514,152,684,836,829 is 3206021544.
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.
514 x 152 x 684 x 836 x 829 = 37035960876288
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.
514 : 1, 2, 257, 514
152 : 1, 2, 4, 8, 19, 38, 76, 152
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
829 : 1, 829
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,152,684,836,829, is 1.
Now, the common factors can be found like this.
514:2x 257
152:2x 2x 2x 19
684:2x 2x 3x 3x 19
836:2x 2x 11x 19
829:829
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 2x 19x 19 = 11552
Therefore, the value for common factors is 11552.
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 = 37035960876288/(1x11552)
LCM = 37035960876288/11552
LCM = 3206021544
Thus, we can understand that the LCM of 514,152,684,836,829 is 3206021544.
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FAQs on LCM of 514, 152, 684, 836, 829
1. What is the LCM of 514, 152, 684, 836, 829?
Answer: LCM of 514, 152, 684, 836, 829 is 3206021544.
2. How to calculate the LCM of 514, 152, 684, 836, 829?
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 514, 152, 684, 836, 829.
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}.