LCM of 867, 317, 459, 762
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 867, 317, 459, 762 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 867, 317, 459, 762. So, keep reading to learn more.
Given numbers are 867,317,459,762
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,317,459,762 is 628281954.
Find LCM of 867,317,459,762 with Prime Factorization
| 3 | 867, 317, 459, 762 |
| 17 | 289, 317, 153, 254 |
| 17, 317, 9, 254 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 17 x 317 x 9 x 254 = 628281954
Therefore, the lowest common multiple of 867,317,459,762 is 628281954.
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.
867 x 317 x 459 x 762 = 96127138962
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.
867 : 1, 3, 17, 51, 289, 867
317 : 1, 317
459 : 1, 3, 9, 17, 27, 51, 153, 459
762 : 1, 2, 3, 6, 127, 254, 381, 762
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,317,459,762, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
317:317
459:3x 3x 3x 17
762:2x 3x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 17 = 153
Therefore, the value for common factors is 153.
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 = 96127138962/(1x153)
LCM = 96127138962/153
LCM = 628281954
Thus, we can understand that the LCM of 867,317,459,762 is 628281954.
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FAQs on LCM of 867, 317, 459, 762
1. What is the LCM of 867, 317, 459, 762?
Answer: LCM of 867, 317, 459, 762 is 628281954.
2. How to calculate the LCM of 867, 317, 459, 762?
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 867, 317, 459, 762.
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}.