LCM of 687, 832, 286, 624, 275
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 687, 832, 286, 624, 275 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 687, 832, 286, 624, 275. So, keep reading to learn more.
Given numbers are 687,832,286,624,275
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 687,832,286,624,275 is 157185600.
Find LCM of 687,832,286,624,275 with Prime Factorization
| 2 | 687, 832, 286, 624, 275 |
| 2 | 687, 416, 143, 312, 275 |
| 2 | 687, 208, 143, 156, 275 |
| 2 | 687, 104, 143, 78, 275 |
| 3 | 687, 52, 143, 39, 275 |
| 11 | 229, 52, 143, 13, 275 |
| 13 | 229, 52, 13, 13, 25 |
| 229, 4, 1, 1, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 11 x 13 x 229 x 4 x 1 x 1 x 25 = 157185600
Therefore, the lowest common multiple of 687,832,286,624,275 is 157185600.
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.
687 x 832 x 286 x 624 x 275 = 28051970918400
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.
687 : 1, 3, 229, 687
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
286 : 1, 2, 11, 13, 22, 26, 143, 286
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
275 : 1, 5, 11, 25, 55, 275
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,832,286,624,275, is 1.
Now, the common factors can be found like this.
687:3x 229
832:2x 2x 2x 2x 2x 2x 13
286:2x 11x 13
624:2x 2x 2x 2x 3x 13
275:5x 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 2x 2x 2x 3x 11x 13x 13 = 178464
Therefore, the value for common factors is 178464.
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 = 28051970918400/(1x178464)
LCM = 28051970918400/178464
LCM = 157185600
Thus, we can understand that the LCM of 687,832,286,624,275 is 157185600.
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FAQs on LCM of 687, 832, 286, 624, 275
1. What is the LCM of 687, 832, 286, 624, 275?
Answer: LCM of 687, 832, 286, 624, 275 is 157185600.
2. How to calculate the LCM of 687, 832, 286, 624, 275?
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 687, 832, 286, 624, 275.
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}.