LCM of 935, 956, 567, 231
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 935, 956, 567, 231 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, 956, 567, 231. So, keep reading to learn more.
Given numbers are 935,956,567,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,956,567,231 is 506818620.
Find LCM of 935,956,567,231 with Prime Factorization
| 3 | 935, 956, 567, 231 |
| 7 | 935, 956, 189, 77 |
| 11 | 935, 956, 27, 11 |
| 85, 956, 27, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 85 x 956 x 27 x 1 = 506818620
Therefore, the lowest common multiple of 935,956,567,231 is 506818620.
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 956 x 567 x 231 = 117075101220
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
956 : 1, 2, 4, 239, 478, 956
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
231 : 1, 3, 7, 11, 21, 33, 77, 231
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,956,567,231, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
956:2x 2x 239
567:3x 3x 3x 3x 7
231:3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 11 = 231
Therefore, the value for common factors is 231.
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 = 117075101220/(1x231)
LCM = 117075101220/231
LCM = 506818620
Thus, we can understand that the LCM of 935,956,567,231 is 506818620.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 935, 956, 567, 231
1. What is the LCM of 935, 956, 567, 231?
Answer: LCM of 935, 956, 567, 231 is 506818620.
2. How to calculate the LCM of 935, 956, 567, 231?
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, 956, 567, 231.
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}.