LCM of 935, 160, 954, 289, 967
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 935, 160, 954, 289, 967 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 935, 160, 954, 289, 967. So, keep reading to learn more.
Given numbers are 935,160,954,289,967
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,160,954,289,967 is 234614777760.
Find LCM of 935,160,954,289,967 with Prime Factorization
| 2 | 935, 160, 954, 289, 967 |
| 5 | 935, 80, 477, 289, 967 |
| 17 | 187, 16, 477, 289, 967 |
| 11, 16, 477, 17, 967 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 11 x 16 x 477 x 17 x 967 = 234614777760
Therefore, the lowest common multiple of 935,160,954,289,967 is 234614777760.
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.
935 x 160 x 954 x 289 x 967 = 39884512219200
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.
935 : 1, 5, 11, 17, 55, 85, 187, 935
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
289 : 1, 17, 289
967 : 1, 967
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,160,954,289,967, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
160:2x 2x 2x 2x 2x 5
954:2x 3x 3x 53
289:17x 17
967:967
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 17 = 170
Therefore, the value for common factors is 170.
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 = 39884512219200/(1x170)
LCM = 39884512219200/170
LCM = 234614777760
Thus, we can understand that the LCM of 935,160,954,289,967 is 234614777760.
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FAQs on LCM of 935, 160, 954, 289, 967
1. What is the LCM of 935, 160, 954, 289, 967?
Answer: LCM of 935, 160, 954, 289, 967 is 234614777760.
2. How to calculate the LCM of 935, 160, 954, 289, 967?
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 935, 160, 954, 289, 967.
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}.