LCM of 688, 415, 231, 322, 299
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 688, 415, 231, 322, 299 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 688, 415, 231, 322, 299. So, keep reading to learn more.
Given numbers are 688,415,231,322,299
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,415,231,322,299 is 19720580880.
Find LCM of 688,415,231,322,299 with Prime Factorization
| 2 | 688, 415, 231, 322, 299 |
| 7 | 344, 415, 231, 161, 299 |
| 23 | 344, 415, 33, 23, 299 |
| 344, 415, 33, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 23 x 344 x 415 x 33 x 1 x 13 = 19720580880
Therefore, the lowest common multiple of 688,415,231,322,299 is 19720580880.
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.
688 x 415 x 231 x 322 x 299 = 6350027043360
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.
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
415 : 1, 5, 83, 415
231 : 1, 3, 7, 11, 21, 33, 77, 231
322 : 1, 2, 7, 14, 23, 46, 161, 322
299 : 1, 13, 23, 299
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,415,231,322,299, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
415:5x 83
231:3x 7x 11
322:2x 7x 23
299:13x 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 7x 23 = 322
Therefore, the value for common factors is 322.
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 = 6350027043360/(1x322)
LCM = 6350027043360/322
LCM = 19720580880
Thus, we can understand that the LCM of 688,415,231,322,299 is 19720580880.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 688, 415, 231, 322, 299
1. What is the LCM of 688, 415, 231, 322, 299?
Answer: LCM of 688, 415, 231, 322, 299 is 19720580880.
2. How to calculate the LCM of 688, 415, 231, 322, 299?
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 688, 415, 231, 322, 299.
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}.