LCM of 688, 253, 559, 180, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 688, 253, 559, 180, 966 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, 253, 559, 180, 966. So, keep reading to learn more.
Given numbers are 688,253,559,180,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,253,559,180,966 is 712792080.
Find LCM of 688,253,559,180,966 with Prime Factorization
| 2 | 688, 253, 559, 180, 966 |
| 2 | 344, 253, 559, 90, 483 |
| 3 | 172, 253, 559, 45, 483 |
| 23 | 172, 253, 559, 15, 161 |
| 43 | 172, 11, 559, 15, 7 |
| 4, 11, 13, 15, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 43 x 4 x 11 x 13 x 15 x 7 = 712792080
Therefore, the lowest common multiple of 688,253,559,180,966 is 712792080.
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 253 x 559 x 180 x 966 = 16918832810880
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
253 : 1, 11, 23, 253
559 : 1, 13, 43, 559
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,253,559,180,966, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
253:11x 23
559:13x 43
180:2x 2x 3x 3x 5
966:2x 3x 7x 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 3x 23x 43 = 23736
Therefore, the value for common factors is 23736.
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 = 16918832810880/(1x23736)
LCM = 16918832810880/23736
LCM = 712792080
Thus, we can understand that the LCM of 688,253,559,180,966 is 712792080.
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FAQs on LCM of 688, 253, 559, 180, 966
1. What is the LCM of 688, 253, 559, 180, 966?
Answer: LCM of 688, 253, 559, 180, 966 is 712792080.
2. How to calculate the LCM of 688, 253, 559, 180, 966?
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, 253, 559, 180, 966.
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}.