LCM of 117, 688, 829, 260, 495
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 117, 688, 829, 260, 495 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 117, 688, 829, 260, 495. So, keep reading to learn more.
Given numbers are 117,688,829,260,495
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 117,688,829,260,495 is 3670215120.
Find LCM of 117,688,829,260,495 with Prime Factorization
| 2 | 117, 688, 829, 260, 495 |
| 2 | 117, 344, 829, 130, 495 |
| 3 | 117, 172, 829, 65, 495 |
| 3 | 39, 172, 829, 65, 165 |
| 5 | 13, 172, 829, 65, 55 |
| 13 | 13, 172, 829, 13, 11 |
| 1, 172, 829, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 13 x 1 x 172 x 829 x 1 x 11 = 3670215120
Therefore, the lowest common multiple of 117,688,829,260,495 is 3670215120.
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.
117 x 688 x 829 x 260 x 495 = 8588303380800
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.
117 : 1, 3, 9, 13, 39, 117
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
829 : 1, 829
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,688,829,260,495, is 1.
Now, the common factors can be found like this.
117:3x 3x 13
688:2x 2x 2x 2x 43
829:829
260:2x 2x 5x 13
495:3x 3x 5x 11
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 5x 13 = 2340
Therefore, the value for common factors is 2340.
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 = 8588303380800/(1x2340)
LCM = 8588303380800/2340
LCM = 3670215120
Thus, we can understand that the LCM of 117,688,829,260,495 is 3670215120.
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FAQs on LCM of 117, 688, 829, 260, 495
1. What is the LCM of 117, 688, 829, 260, 495?
Answer: LCM of 117, 688, 829, 260, 495 is 3670215120.
2. How to calculate the LCM of 117, 688, 829, 260, 495?
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 117, 688, 829, 260, 495.
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}.