LCM of 952, 317, 658, 408, 759
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 952, 317, 658, 408, 759 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 952, 317, 658, 408, 759. So, keep reading to learn more.
Given numbers are 952,317,658,408,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 952,317,658,408,759 is 10765540632.
Find LCM of 952,317,658,408,759 with Prime Factorization
| 2 | 952, 317, 658, 408, 759 |
| 2 | 476, 317, 329, 204, 759 |
| 2 | 238, 317, 329, 102, 759 |
| 3 | 119, 317, 329, 51, 759 |
| 7 | 119, 317, 329, 17, 253 |
| 17 | 17, 317, 47, 17, 253 |
| 1, 317, 47, 1, 253 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 17 x 1 x 317 x 47 x 1 x 253 = 10765540632
Therefore, the lowest common multiple of 952,317,658,408,759 is 10765540632.
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.
952 x 317 x 658 x 408 x 759 = 61492768089984
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.
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
317 : 1, 317
658 : 1, 2, 7, 14, 47, 94, 329, 658
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
759 : 1, 3, 11, 23, 33, 69, 253, 759
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 952,317,658,408,759, is 1.
Now, the common factors can be found like this.
952:2x 2x 2x 7x 17
317:317
658:2x 7x 47
408:2x 2x 2x 3x 17
759:3x 11x 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 2x 3x 7x 17 = 5712
Therefore, the value for common factors is 5712.
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 = 61492768089984/(1x5712)
LCM = 61492768089984/5712
LCM = 10765540632
Thus, we can understand that the LCM of 952,317,658,408,759 is 10765540632.
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FAQs on LCM of 952, 317, 658, 408, 759
1. What is the LCM of 952, 317, 658, 408, 759?
Answer: LCM of 952, 317, 658, 408, 759 is 10765540632.
2. How to calculate the LCM of 952, 317, 658, 408, 759?
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 952, 317, 658, 408, 759.
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}.