LCM of 687, 759, 901, 296, 880
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 687, 759, 901, 296, 880 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, 759, 901, 296, 880. So, keep reading to learn more.
Given numbers are 687,759,901,296,880
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 687,759,901,296,880 is 463546984560.
Find LCM of 687,759,901,296,880 with Prime Factorization
| 2 | 687, 759, 901, 296, 880 |
| 2 | 687, 759, 901, 148, 440 |
| 2 | 687, 759, 901, 74, 220 |
| 3 | 687, 759, 901, 37, 110 |
| 11 | 229, 253, 901, 37, 110 |
| 229, 23, 901, 37, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 229 x 23 x 901 x 37 x 10 = 463546984560
Therefore, the lowest common multiple of 687,759,901,296,880 is 463546984560.
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 759 x 901 x 296 x 880 = 122376403923840
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
759 : 1, 3, 11, 23, 33, 69, 253, 759
901 : 1, 17, 53, 901
296 : 1, 2, 4, 8, 37, 74, 148, 296
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,759,901,296,880, is 1.
Now, the common factors can be found like this.
687:3x 229
759:3x 11x 23
901:17x 53
296:2x 2x 2x 37
880:2x 2x 2x 2x 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 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 122376403923840/(1x264)
LCM = 122376403923840/264
LCM = 463546984560
Thus, we can understand that the LCM of 687,759,901,296,880 is 463546984560.
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FAQs on LCM of 687, 759, 901, 296, 880
1. What is the LCM of 687, 759, 901, 296, 880?
Answer: LCM of 687, 759, 901, 296, 880 is 463546984560.
2. How to calculate the LCM of 687, 759, 901, 296, 880?
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, 759, 901, 296, 880.
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}.