LCM of 768, 962, 104, 617
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 768, 962, 104, 617 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 768, 962, 104, 617. So, keep reading to learn more.
Given numbers are 768,962,104,617
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 768,962,104,617 is 227924736.
Find LCM of 768,962,104,617 with Prime Factorization
| 2 | 768, 962, 104, 617 |
| 2 | 384, 481, 52, 617 |
| 2 | 192, 481, 26, 617 |
| 13 | 96, 481, 13, 617 |
| 96, 37, 1, 617 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 96 x 37 x 1 x 617 = 227924736
Therefore, the lowest common multiple of 768,962,104,617 is 227924736.
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.
768 x 962 x 104 x 617 = 47408345088
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.
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
962 : 1, 2, 13, 26, 37, 74, 481, 962
104 : 1, 2, 4, 8, 13, 26, 52, 104
617 : 1, 617
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,962,104,617, is 1.
Now, the common factors can be found like this.
768:2x 2x 2x 2x 2x 2x 2x 2x 3
962:2x 13x 37
104:2x 2x 2x 13
617:617
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 13 = 208
Therefore, the value for common factors is 208.
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 = 47408345088/(1x208)
LCM = 47408345088/208
LCM = 227924736
Thus, we can understand that the LCM of 768,962,104,617 is 227924736.
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FAQs on LCM of 768, 962, 104, 617
1. What is the LCM of 768, 962, 104, 617?
Answer: LCM of 768, 962, 104, 617 is 227924736.
2. How to calculate the LCM of 768, 962, 104, 617?
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 768, 962, 104, 617.
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}.