LCM of 514, 330, 317, 836, 736
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 514, 330, 317, 836, 736 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, 330, 317, 836, 736. So, keep reading to learn more.
Given numbers are 514,330,317,836,736
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,330,317,836,736 is 187978311840.
Find LCM of 514,330,317,836,736 with Prime Factorization
| 2 | 514, 330, 317, 836, 736 |
| 2 | 257, 165, 317, 418, 368 |
| 11 | 257, 165, 317, 209, 184 |
| 257, 15, 317, 19, 184 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 257 x 15 x 317 x 19 x 184 = 187978311840
Therefore, the lowest common multiple of 514,330,317,836,736 is 187978311840.
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 330 x 317 x 836 x 736 = 33084182883840
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
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
317 : 1, 317
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,330,317,836,736, is 1.
Now, the common factors can be found like this.
514:2x 257
330:2x 3x 5x 11
317:317
836:2x 2x 11x 19
736:2x 2x 2x 2x 2x 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 2x 11 = 176
Therefore, the value for common factors is 176.
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 = 33084182883840/(1x176)
LCM = 33084182883840/176
LCM = 187978311840
Thus, we can understand that the LCM of 514,330,317,836,736 is 187978311840.
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FAQs on LCM of 514, 330, 317, 836, 736
1. What is the LCM of 514, 330, 317, 836, 736?
Answer: LCM of 514, 330, 317, 836, 736 is 187978311840.
2. How to calculate the LCM of 514, 330, 317, 836, 736?
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, 330, 317, 836, 736.
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}.