LCM of 952, 507, 796, 351, 901
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 952, 507, 796, 351, 901 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, 507, 796, 351, 901. So, keep reading to learn more.
Given numbers are 952,507,796,351,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 952,507,796,351,901 is 45815914872.
Find LCM of 952,507,796,351,901 with Prime Factorization
| 2 | 952, 507, 796, 351, 901 |
| 2 | 476, 507, 398, 351, 901 |
| 3 | 238, 507, 199, 351, 901 |
| 13 | 238, 169, 199, 117, 901 |
| 17 | 238, 13, 199, 9, 901 |
| 14, 13, 199, 9, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 17 x 14 x 13 x 199 x 9 x 53 = 45815914872
Therefore, the lowest common multiple of 952,507,796,351,901 is 45815914872.
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 507 x 796 x 351 x 901 = 121503806240544
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
507 : 1, 3, 13, 39, 169, 507
796 : 1, 2, 4, 199, 398, 796
351 : 1, 3, 9, 13, 27, 39, 117, 351
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 952,507,796,351,901, is 1.
Now, the common factors can be found like this.
952:2x 2x 2x 7x 17
507:3x 13x 13
796:2x 2x 199
351:3x 3x 3x 13
901:17x 53
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 3x 13x 17 = 2652
Therefore, the value for common factors is 2652.
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 = 121503806240544/(1x2652)
LCM = 121503806240544/2652
LCM = 45815914872
Thus, we can understand that the LCM of 952,507,796,351,901 is 45815914872.
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FAQs on LCM of 952, 507, 796, 351, 901
1. What is the LCM of 952, 507, 796, 351, 901?
Answer: LCM of 952, 507, 796, 351, 901 is 45815914872.
2. How to calculate the LCM of 952, 507, 796, 351, 901?
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, 507, 796, 351, 901.
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}.