LCM of 959, 507, 623, 845, 448
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 959, 507, 623, 845, 448 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 959, 507, 623, 845, 448. So, keep reading to learn more.
Given numbers are 959,507,623,845,448
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 959,507,623,845,448 is 13847346240.
Find LCM of 959,507,623,845,448 with Prime Factorization
| 7 | 959, 507, 623, 845, 448 |
| 13 | 137, 507, 89, 845, 64 |
| 13 | 137, 39, 89, 65, 64 |
| 137, 3, 89, 5, 64 |
Multiply the prime numbers at the bottom and the left side.
7 x 13 x 13 x 137 x 3 x 89 x 5 x 64 = 13847346240
Therefore, the lowest common multiple of 959,507,623,845,448 is 13847346240.
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.
959 x 507 x 623 x 845 x 448 = 114669874213440
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.
959 : 1, 7, 137, 959
507 : 1, 3, 13, 39, 169, 507
623 : 1, 7, 89, 623
845 : 1, 5, 13, 65, 169, 845
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 959,507,623,845,448, is 1.
Now, the common factors can be found like this.
959:7x 137
507:3x 13x 13
623:7x 89
845:5x 13x 13
448:2x 2x 2x 2x 2x 2x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7x 13x 13 = 8281
Therefore, the value for common factors is 8281.
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 = 114669874213440/(1x8281)
LCM = 114669874213440/8281
LCM = 13847346240
Thus, we can understand that the LCM of 959,507,623,845,448 is 13847346240.
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FAQs on LCM of 959, 507, 623, 845, 448
1. What is the LCM of 959, 507, 623, 845, 448?
Answer: LCM of 959, 507, 623, 845, 448 is 13847346240.
2. How to calculate the LCM of 959, 507, 623, 845, 448?
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 959, 507, 623, 845, 448.
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}.